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Finding the Third Proportional to 864,747,356,943.75 and 1,859,636,217,683.20

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Solution

The third proportional to 864,747,356,943.75 and 1,859,636,217,683.20 is: 3,999,141,291,788.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,747,356,943.75 : 1,859,636,217,683.20 = 1,859,636,217,683.20 : x
  2. Step 2: Convert to fraction form
    864,747,356,943.75/1,859,636,217,683.20 = 1,859,636,217,683.20/x
  3. Step 3: Cross multiply
    864,747,356,943.75x = 1,859,636,217,683.20 × 1,859,636,217,683.20
  4. Step 4: Simplify right side
    864,747,356,943.75x = 3,458,246,862,119,078,039,912,448
  5. Step 5: Solve for x
    x = 3,458,246,862,119,078,039,912,448/864,747,356,943.75
  6. Step 6: Final answer
    x = 3,999,141,291,788.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.