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Finding the Third Proportional to 77,602,476 and 107,898,948

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Solution

The third proportional to 77,602,476 and 107,898,948 is: 150,023,344.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,602,476 : 107,898,948 = 107,898,948 : x
  2. Step 2: Convert to fraction form
    77,602,476/107,898,948 = 107,898,948/x
  3. Step 3: Cross multiply
    77,602,476x = 107,898,948 × 107,898,948
  4. Step 4: Simplify right side
    77,602,476x = 11,642,182,979,506,704
  5. Step 5: Solve for x
    x = 11,642,182,979,506,704/77,602,476
  6. Step 6: Final answer
    x = 150,023,344.35

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.