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Finding the Third Proportional to 72,773,921 and 157,826,651

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Solution

The third proportional to 72,773,921 and 157,826,651 is: 342,282,666.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,773,921 : 157,826,651 = 157,826,651 : x
  2. Step 2: Convert to fraction form
    72,773,921/157,826,651 = 157,826,651/x
  3. Step 3: Cross multiply
    72,773,921x = 157,826,651 × 157,826,651
  4. Step 4: Simplify right side
    72,773,921x = 24,909,251,765,875,800
  5. Step 5: Solve for x
    x = 24,909,251,765,875,800/72,773,921
  6. Step 6: Final answer
    x = 342,282,666.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.