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Finding the Third Proportional to 159,536,556 and 347,025,564

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Solution

The third proportional to 159,536,556 and 347,025,564 is: 754,853,590.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,536,556 : 347,025,564 = 347,025,564 : x
  2. Step 2: Convert to fraction form
    159,536,556/347,025,564 = 347,025,564/x
  3. Step 3: Cross multiply
    159,536,556x = 347,025,564 × 347,025,564
  4. Step 4: Simplify right side
    159,536,556x = 120,426,742,069,518,096
  5. Step 5: Solve for x
    x = 120,426,742,069,518,096/159,536,556
  6. Step 6: Final answer
    x = 754,853,590.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.