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Finding the Third Proportional to 764,151,600 and 1,637,281,776

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Solution

The third proportional to 764,151,600 and 1,637,281,776 is: 3,508,062,554.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,151,600 : 1,637,281,776 = 1,637,281,776 : x
  2. Step 2: Convert to fraction form
    764,151,600/1,637,281,776 = 1,637,281,776/x
  3. Step 3: Cross multiply
    764,151,600x = 1,637,281,776 × 1,637,281,776
  4. Step 4: Simplify right side
    764,151,600x = 2,680,691,614,021,713,920
  5. Step 5: Solve for x
    x = 2,680,691,614,021,713,920/764,151,600
  6. Step 6: Final answer
    x = 3,508,062,554.63

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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.