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Finding the Third Proportional to 740,918,558.75 and 1,610,972,359.88

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Solution

The third proportional to 740,918,558.75 and 1,610,972,359.88 is: 3,502,722,281.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,918,558.75 : 1,610,972,359.88 = 1,610,972,359.88 : x
  2. Step 2: Convert to fraction form
    740,918,558.75/1,610,972,359.88 = 1,610,972,359.88/x
  3. Step 3: Cross multiply
    740,918,558.75x = 1,610,972,359.88 × 1,610,972,359.88
  4. Step 4: Simplify right side
    740,918,558.75x = 2,595,231,944,281,226,752
  5. Step 5: Solve for x
    x = 2,595,231,944,281,226,752/740,918,558.75
  6. Step 6: Final answer
    x = 3,502,722,281.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.