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Finding the Third Proportional to 82,896,001,497 and 127,338,398,951

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Solution

The third proportional to 82,896,001,497 and 127,338,398,951 is: 195,607,358,070.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,896,001,497 : 127,338,398,951 = 127,338,398,951 : x
  2. Step 2: Convert to fraction form
    82,896,001,497/127,338,398,951 = 127,338,398,951/x
  3. Step 3: Cross multiply
    82,896,001,497x = 127,338,398,951 × 127,338,398,951
  4. Step 4: Simplify right side
    82,896,001,497x = 16,215,067,847,404,038,389,760
  5. Step 5: Solve for x
    x = 16,215,067,847,404,038,389,760/82,896,001,497
  6. Step 6: Final answer
    x = 195,607,358,070.11

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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.