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Finding the Third Proportional to 593,445,184.50 and 872,390,747.25

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Solution

The third proportional to 593,445,184.50 and 872,390,747.25 is: 1,282,453,098.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,445,184.50 : 872,390,747.25 = 872,390,747.25 : x
  2. Step 2: Convert to fraction form
    593,445,184.50/872,390,747.25 = 872,390,747.25/x
  3. Step 3: Cross multiply
    593,445,184.50x = 872,390,747.25 × 872,390,747.25
  4. Step 4: Simplify right side
    593,445,184.50x = 761,065,615,887,413,376
  5. Step 5: Solve for x
    x = 761,065,615,887,413,376/593,445,184.50
  6. Step 6: Final answer
    x = 1,282,453,098.90

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Why These Related Problems?

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