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Finding the Third Proportional to 650,605,932 and 991,156,500

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Solution

The third proportional to 650,605,932 and 991,156,500 is: 1,509,963,495.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,605,932 : 991,156,500 = 991,156,500 : x
  2. Step 2: Convert to fraction form
    650,605,932/991,156,500 = 991,156,500/x
  3. Step 3: Cross multiply
    650,605,932x = 991,156,500 × 991,156,500
  4. Step 4: Simplify right side
    650,605,932x = 982,391,207,492,249,984
  5. Step 5: Solve for x
    x = 982,391,207,492,249,984/650,605,932
  6. Step 6: Final answer
    x = 1,509,963,495.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.