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Finding the Third Proportional to 127,711,813 and 197,312,604

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Solution

The third proportional to 127,711,813 and 197,312,604 is: 304,844,655.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,711,813 : 197,312,604 = 197,312,604 : x
  2. Step 2: Convert to fraction form
    127,711,813/197,312,604 = 197,312,604/x
  3. Step 3: Cross multiply
    127,711,813x = 197,312,604 × 197,312,604
  4. Step 4: Simplify right side
    127,711,813x = 38,932,263,697,260,816
  5. Step 5: Solve for x
    x = 38,932,263,697,260,816/127,711,813
  6. Step 6: Final answer
    x = 304,844,655.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.