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Finding the Third Proportional to 551,941,234 and 1,211,124,428

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Solution

The third proportional to 551,941,234 and 1,211,124,428 is: 2,657,569,845.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,941,234 : 1,211,124,428 = 1,211,124,428 : x
  2. Step 2: Convert to fraction form
    551,941,234/1,211,124,428 = 1,211,124,428/x
  3. Step 3: Cross multiply
    551,941,234x = 1,211,124,428 × 1,211,124,428
  4. Step 4: Simplify right side
    551,941,234x = 1,466,822,380,098,327,296
  5. Step 5: Solve for x
    x = 1,466,822,380,098,327,296/551,941,234
  6. Step 6: Final answer
    x = 2,657,569,845.74

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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.