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Finding the Third Proportional to 551,941,211.85 and 1,211,124,394.90

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Solution

The third proportional to 551,941,211.85 and 1,211,124,394.90 is: 2,657,569,807.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,941,211.85 : 1,211,124,394.90 = 1,211,124,394.90 : x
  2. Step 2: Convert to fraction form
    551,941,211.85/1,211,124,394.90 = 1,211,124,394.90/x
  3. Step 3: Cross multiply
    551,941,211.85x = 1,211,124,394.90 × 1,211,124,394.90
  4. Step 4: Simplify right side
    551,941,211.85x = 1,466,822,299,918,015,744
  5. Step 5: Solve for x
    x = 1,466,822,299,918,015,744/551,941,211.85
  6. Step 6: Final answer
    x = 2,657,569,807.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.