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Finding the Third Proportional to 834,251,125.50 and 1,262,113,762.50

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Solution

The third proportional to 834,251,125.50 and 1,262,113,762.50 is: 1,909,414,444.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,251,125.50 : 1,262,113,762.50 = 1,262,113,762.50 : x
  2. Step 2: Convert to fraction form
    834,251,125.50/1,262,113,762.50 = 1,262,113,762.50/x
  3. Step 3: Cross multiply
    834,251,125.50x = 1,262,113,762.50 × 1,262,113,762.50
  4. Step 4: Simplify right side
    834,251,125.50x = 1,592,931,149,491,906,304
  5. Step 5: Solve for x
    x = 1,592,931,149,491,906,304/834,251,125.50
  6. Step 6: Final answer
    x = 1,909,414,444.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.