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Finding the Third Proportional to 834,251,116.50 and 1,262,113,749

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Solution

The third proportional to 834,251,116.50 and 1,262,113,749 is: 1,909,414,424.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,251,116.50 : 1,262,113,749 = 1,262,113,749 : x
  2. Step 2: Convert to fraction form
    834,251,116.50/1,262,113,749 = 1,262,113,749/x
  3. Step 3: Cross multiply
    834,251,116.50x = 1,262,113,749 × 1,262,113,749
  4. Step 4: Simplify right side
    834,251,116.50x = 1,592,931,115,414,834,944
  5. Step 5: Solve for x
    x = 1,592,931,115,414,834,944/834,251,116.50
  6. Step 6: Final answer
    x = 1,909,414,424.40

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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.