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Finding the Third Proportional to 773,886,874,434.80 and 1,683,645,184,978.20

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Solution

The third proportional to 773,886,874,434.80 and 1,683,645,184,978.20 is: 3,662,888,210,851.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,886,874,434.80 : 1,683,645,184,978.20 = 1,683,645,184,978.20 : x
  2. Step 2: Convert to fraction form
    773,886,874,434.80/1,683,645,184,978.20 = 1,683,645,184,978.20/x
  3. Step 3: Cross multiply
    773,886,874,434.80x = 1,683,645,184,978.20 × 1,683,645,184,978.20
  4. Step 4: Simplify right side
    773,886,874,434.80x = 2,834,661,108,900,277,218,443,264
  5. Step 5: Solve for x
    x = 2,834,661,108,900,277,218,443,264/773,886,874,434.80
  6. Step 6: Final answer
    x = 3,662,888,210,851.93

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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.