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Finding the Third Proportional to 34,535,860 and 51,750,585

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Solution

The third proportional to 34,535,860 and 51,750,585 is: 77,546,151.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,535,860 : 51,750,585 = 51,750,585 : x
  2. Step 2: Convert to fraction form
    34,535,860/51,750,585 = 51,750,585/x
  3. Step 3: Cross multiply
    34,535,860x = 51,750,585 × 51,750,585
  4. Step 4: Simplify right side
    34,535,860x = 2,678,123,047,842,225
  5. Step 5: Solve for x
    x = 2,678,123,047,842,225/34,535,860
  6. Step 6: Final answer
    x = 77,546,151.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.