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Finding the Third Proportional to 398,101,485,344 and 877,348,730,584

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Solution

The third proportional to 398,101,485,344 and 877,348,730,584 is: 1,933,529,070,840.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,101,485,344 : 877,348,730,584 = 877,348,730,584 : x
  2. Step 2: Convert to fraction form
    398,101,485,344/877,348,730,584 = 877,348,730,584/x
  3. Step 3: Cross multiply
    398,101,485,344x = 877,348,730,584 × 877,348,730,584
  4. Step 4: Simplify right side
    398,101,485,344x = 769,740,795,057,356,199,165,952
  5. Step 5: Solve for x
    x = 769,740,795,057,356,199,165,952/398,101,485,344
  6. Step 6: Final answer
    x = 1,933,529,070,840.37

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.