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Finding the Third Proportional to 82,896,001,498 and 127,338,398,952

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Solution

The third proportional to 82,896,001,498 and 127,338,398,952 is: 195,607,358,070.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,896,001,498 : 127,338,398,952 = 127,338,398,952 : x
  2. Step 2: Convert to fraction form
    82,896,001,498/127,338,398,952 = 127,338,398,952/x
  3. Step 3: Cross multiply
    82,896,001,498x = 127,338,398,952 × 127,338,398,952
  4. Step 4: Simplify right side
    82,896,001,498x = 16,215,067,847,658,714,431,488
  5. Step 5: Solve for x
    x = 16,215,067,847,658,714,431,488/82,896,001,498
  6. Step 6: Final answer
    x = 195,607,358,070.82

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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.