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Finding the Third Proportional to 773,886,874,451.30 and 1,683,645,185,009.10

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Solution

The third proportional to 773,886,874,451.30 and 1,683,645,185,009.10 is: 3,662,888,210,908.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,886,874,451.30 : 1,683,645,185,009.10 = 1,683,645,185,009.10 : x
  2. Step 2: Convert to fraction form
    773,886,874,451.30/1,683,645,185,009.10 = 1,683,645,185,009.10/x
  3. Step 3: Cross multiply
    773,886,874,451.30x = 1,683,645,185,009.10 × 1,683,645,185,009.10
  4. Step 4: Simplify right side
    773,886,874,451.30x = 2,834,661,109,004,327,096,156,160
  5. Step 5: Solve for x
    x = 2,834,661,109,004,327,096,156,160/773,886,874,451.30
  6. Step 6: Final answer
    x = 3,662,888,210,908.29

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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.