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Finding the Third Proportional to 82,263,724 and 127,788,377

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Solution

The third proportional to 82,263,724 and 127,788,377 is: 198,506,322.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,263,724 : 127,788,377 = 127,788,377 : x
  2. Step 2: Convert to fraction form
    82,263,724/127,788,377 = 127,788,377/x
  3. Step 3: Cross multiply
    82,263,724x = 127,788,377 × 127,788,377
  4. Step 4: Simplify right side
    82,263,724x = 16,329,869,296,294,128
  5. Step 5: Solve for x
    x = 16,329,869,296,294,128/82,263,724
  6. Step 6: Final answer
    x = 198,506,322.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.