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Finding the Third Proportional to 524,797,955,001 and 783,757,977,653

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Solution

The third proportional to 524,797,955,001 and 783,757,977,653 is: 1,170,501,069,375.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,797,955,001 : 783,757,977,653 = 783,757,977,653 : x
  2. Step 2: Convert to fraction form
    524,797,955,001/783,757,977,653 = 783,757,977,653/x
  3. Step 3: Cross multiply
    524,797,955,001x = 783,757,977,653 × 783,757,977,653
  4. Step 4: Simplify right side
    524,797,955,001x = 614,276,567,534,720,488,833,024
  5. Step 5: Solve for x
    x = 614,276,567,534,720,488,833,024/524,797,955,001
  6. Step 6: Final answer
    x = 1,170,501,069,375.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.