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Finding the Third Proportional to 692,601,470 and 1,523,721,867.50

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Solution

The third proportional to 692,601,470 and 1,523,721,867.50 is: 3,352,185,102.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,601,470 : 1,523,721,867.50 = 1,523,721,867.50 : x
  2. Step 2: Convert to fraction form
    692,601,470/1,523,721,867.50 = 1,523,721,867.50/x
  3. Step 3: Cross multiply
    692,601,470x = 1,523,721,867.50 × 1,523,721,867.50
  4. Step 4: Simplify right side
    692,601,470x = 2,321,728,329,497,687,552
  5. Step 5: Solve for x
    x = 2,321,728,329,497,687,552/692,601,470
  6. Step 6: Final answer
    x = 3,352,185,102.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.