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Finding the Third Proportional to 551,941,231.78 and 1,211,124,423.38

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Solution

The third proportional to 551,941,231.78 and 1,211,124,423.38 is: 2,657,569,836.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,941,231.78 : 1,211,124,423.38 = 1,211,124,423.38 : x
  2. Step 2: Convert to fraction form
    551,941,231.78/1,211,124,423.38 = 1,211,124,423.38/x
  3. Step 3: Cross multiply
    551,941,231.78x = 1,211,124,423.38 × 1,211,124,423.38
  4. Step 4: Simplify right side
    551,941,231.78x = 1,466,822,368,895,426,304
  5. Step 5: Solve for x
    x = 1,466,822,368,895,426,304/551,941,231.78
  6. Step 6: Final answer
    x = 2,657,569,836.12

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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.