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Finding the Third Proportional to 924,886,837.13 and 2,182,567,395.38

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Solution

The third proportional to 924,886,837.13 and 2,182,567,395.38 is: 5,150,468,407.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,886,837.13 : 2,182,567,395.38 = 2,182,567,395.38 : x
  2. Step 2: Convert to fraction form
    924,886,837.13/2,182,567,395.38 = 2,182,567,395.38/x
  3. Step 3: Cross multiply
    924,886,837.13x = 2,182,567,395.38 × 2,182,567,395.38
  4. Step 4: Simplify right side
    924,886,837.13x = 4,763,600,435,354,011,648
  5. Step 5: Solve for x
    x = 4,763,600,435,354,011,648/924,886,837.13
  6. Step 6: Final answer
    x = 5,150,468,407.75

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.