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Finding the Third Proportional to 351,716,347.13 and 517,344,281.44

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Solution

The third proportional to 351,716,347.13 and 517,344,281.44 is: 760,968,626.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,716,347.13 : 517,344,281.44 = 517,344,281.44 : x
  2. Step 2: Convert to fraction form
    351,716,347.13/517,344,281.44 = 517,344,281.44/x
  3. Step 3: Cross multiply
    351,716,347.13x = 517,344,281.44 × 517,344,281.44
  4. Step 4: Simplify right side
    351,716,347.13x = 267,645,105,536,083,200
  5. Step 5: Solve for x
    x = 267,645,105,536,083,200/351,716,347.13
  6. Step 6: Final answer
    x = 760,968,626.35

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.