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Finding the Third Proportional to 64,612,337 and 138,306,940

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Solution

The third proportional to 64,612,337 and 138,306,940 is: 296,055,065.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,612,337 : 138,306,940 = 138,306,940 : x
  2. Step 2: Convert to fraction form
    64,612,337/138,306,940 = 138,306,940/x
  3. Step 3: Cross multiply
    64,612,337x = 138,306,940 × 138,306,940
  4. Step 4: Simplify right side
    64,612,337x = 19,128,809,652,163,600
  5. Step 5: Solve for x
    x = 19,128,809,652,163,600/64,612,337
  6. Step 6: Final answer
    x = 296,055,065.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.