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Finding the Third Proportional to 773,886,874,422.15 and 1,683,645,184,952.40

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Solution

The third proportional to 773,886,874,422.15 and 1,683,645,184,952.40 is: 3,662,888,210,799.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,886,874,422.15 : 1,683,645,184,952.40 = 1,683,645,184,952.40 : x
  2. Step 2: Convert to fraction form
    773,886,874,422.15/1,683,645,184,952.40 = 1,683,645,184,952.40/x
  3. Step 3: Cross multiply
    773,886,874,422.15x = 1,683,645,184,952.40 × 1,683,645,184,952.40
  4. Step 4: Simplify right side
    773,886,874,422.15x = 2,834,661,108,813,400,767,463,424
  5. Step 5: Solve for x
    x = 2,834,661,108,813,400,767,463,424/773,886,874,422.15
  6. Step 6: Final answer
    x = 3,662,888,210,799.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.