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Finding the Third Proportional to 764,151,584 and 1,637,281,748

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Solution

The third proportional to 764,151,584 and 1,637,281,748 is: 3,508,062,508.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,151,584 : 1,637,281,748 = 1,637,281,748 : x
  2. Step 2: Convert to fraction form
    764,151,584/1,637,281,748 = 1,637,281,748/x
  3. Step 3: Cross multiply
    764,151,584x = 1,637,281,748 × 1,637,281,748
  4. Step 4: Simplify right side
    764,151,584x = 2,680,691,522,333,935,616
  5. Step 5: Solve for x
    x = 2,680,691,522,333,935,616/764,151,584
  6. Step 6: Final answer
    x = 3,508,062,508.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.