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Finding the Third Proportional to 52,331,522 and 77,986,773

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Solution

The third proportional to 52,331,522 and 77,986,773 is: 116,219,374.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,331,522 : 77,986,773 = 77,986,773 : x
  2. Step 2: Convert to fraction form
    52,331,522/77,986,773 = 77,986,773/x
  3. Step 3: Cross multiply
    52,331,522x = 77,986,773 × 77,986,773
  4. Step 4: Simplify right side
    52,331,522x = 6,081,936,762,953,529
  5. Step 5: Solve for x
    x = 6,081,936,762,953,529/52,331,522
  6. Step 6: Final answer
    x = 116,219,374.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.