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Finding the Third Proportional to 52,028,864,486 and 82,788,151,439

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Solution

The third proportional to 52,028,864,486 and 82,788,151,439 is: 131,732,223,764.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,028,864,486 : 82,788,151,439 = 82,788,151,439 : x
  2. Step 2: Convert to fraction form
    52,028,864,486/82,788,151,439 = 82,788,151,439/x
  3. Step 3: Cross multiply
    52,028,864,486x = 82,788,151,439 × 82,788,151,439
  4. Step 4: Simplify right side
    52,028,864,486x = 6,853,878,018,686,797,742,080
  5. Step 5: Solve for x
    x = 6,853,878,018,686,797,742,080/52,028,864,486
  6. Step 6: Final answer
    x = 131,732,223,764.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.