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Finding the Third Proportional to 479,924,983.38 and 716,742,567.38

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Solution

The third proportional to 479,924,983.38 and 716,742,567.38 is: 1,070,417,097.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,924,983.38 : 716,742,567.38 = 716,742,567.38 : x
  2. Step 2: Convert to fraction form
    479,924,983.38/716,742,567.38 = 716,742,567.38/x
  3. Step 3: Cross multiply
    479,924,983.38x = 716,742,567.38 × 716,742,567.38
  4. Step 4: Simplify right side
    479,924,983.38x = 513,719,907,887,306,432
  5. Step 5: Solve for x
    x = 513,719,907,887,306,432/479,924,983.38
  6. Step 6: Final answer
    x = 1,070,417,097.84

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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.