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Finding the Third Proportional to 866,103,444 and 2,043,849,114

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Solution

The third proportional to 866,103,444 and 2,043,849,114 is: 4,823,118,104.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,103,444 : 2,043,849,114 = 2,043,849,114 : x
  2. Step 2: Convert to fraction form
    866,103,444/2,043,849,114 = 2,043,849,114/x
  3. Step 3: Cross multiply
    866,103,444x = 2,043,849,114 × 2,043,849,114
  4. Step 4: Simplify right side
    866,103,444x = 4,177,319,200,798,584,832
  5. Step 5: Solve for x
    x = 4,177,319,200,798,584,832/866,103,444
  6. Step 6: Final answer
    x = 4,823,118,104.12

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.