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Finding the Third Proportional to 532,829,660,314.50 and 1,150,583,127,691.50

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Solution

The third proportional to 532,829,660,314.50 and 1,150,583,127,691.50 is: 2,484,549,251,531.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,829,660,314.50 : 1,150,583,127,691.50 = 1,150,583,127,691.50 : x
  2. Step 2: Convert to fraction form
    532,829,660,314.50/1,150,583,127,691.50 = 1,150,583,127,691.50/x
  3. Step 3: Cross multiply
    532,829,660,314.50x = 1,150,583,127,691.50 × 1,150,583,127,691.50
  4. Step 4: Simplify right side
    532,829,660,314.50x = 1,323,841,533,728,354,551,726,080
  5. Step 5: Solve for x
    x = 1,323,841,533,728,354,551,726,080/532,829,660,314.50
  6. Step 6: Final answer
    x = 2,484,549,251,531.84

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.