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Finding the Third Proportional to 838,829,850 and 1,258,244,883

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Solution

The third proportional to 838,829,850 and 1,258,244,883 is: 1,887,367,486.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,829,850 : 1,258,244,883 = 1,258,244,883 : x
  2. Step 2: Convert to fraction form
    838,829,850/1,258,244,883 = 1,258,244,883/x
  3. Step 3: Cross multiply
    838,829,850x = 1,258,244,883 × 1,258,244,883
  4. Step 4: Simplify right side
    838,829,850x = 1,583,180,185,595,683,584
  5. Step 5: Solve for x
    x = 1,583,180,185,595,683,584/838,829,850
  6. Step 6: Final answer
    x = 1,887,367,486.50

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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.