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Finding the Third Proportional to 764,118,073.13 and 1,650,923,283.38

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Solution

The third proportional to 764,118,073.13 and 1,650,923,283.38 is: 3,566,919,542.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,118,073.13 : 1,650,923,283.38 = 1,650,923,283.38 : x
  2. Step 2: Convert to fraction form
    764,118,073.13/1,650,923,283.38 = 1,650,923,283.38/x
  3. Step 3: Cross multiply
    764,118,073.13x = 1,650,923,283.38 × 1,650,923,283.38
  4. Step 4: Simplify right side
    764,118,073.13x = 2,725,547,687,589,690,368
  5. Step 5: Solve for x
    x = 2,725,547,687,589,690,368/764,118,073.13
  6. Step 6: Final answer
    x = 3,566,919,542.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.