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Finding the Third Proportional to 838,829,849 and 1,258,244,881.50

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Solution

The third proportional to 838,829,849 and 1,258,244,881.50 is: 1,887,367,484.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,829,849 : 1,258,244,881.50 = 1,258,244,881.50 : x
  2. Step 2: Convert to fraction form
    838,829,849/1,258,244,881.50 = 1,258,244,881.50/x
  3. Step 3: Cross multiply
    838,829,849x = 1,258,244,881.50 × 1,258,244,881.50
  4. Step 4: Simplify right side
    838,829,849x = 1,583,180,181,820,948,992
  5. Step 5: Solve for x
    x = 1,583,180,181,820,948,992/838,829,849
  6. Step 6: Final answer
    x = 1,887,367,484.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.