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Finding the Third Proportional to 77,643,822 and 121,789,704

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Solution

The third proportional to 77,643,822 and 121,789,704 is: 191,035,572.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,643,822 : 121,789,704 = 121,789,704 : x
  2. Step 2: Convert to fraction form
    77,643,822/121,789,704 = 121,789,704/x
  3. Step 3: Cross multiply
    77,643,822x = 121,789,704 × 121,789,704
  4. Step 4: Simplify right side
    77,643,822x = 14,832,732,000,407,616
  5. Step 5: Solve for x
    x = 14,832,732,000,407,616/77,643,822
  6. Step 6: Final answer
    x = 191,035,572.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.