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Finding the Third Proportional to 551,648,078.86 and 1,176,943,318.17

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Solution

The third proportional to 551,648,078.86 and 1,176,943,318.17 is: 2,511,013,139.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,648,078.86 : 1,176,943,318.17 = 1,176,943,318.17 : x
  2. Step 2: Convert to fraction form
    551,648,078.86/1,176,943,318.17 = 1,176,943,318.17/x
  3. Step 3: Cross multiply
    551,648,078.86x = 1,176,943,318.17 × 1,176,943,318.17
  4. Step 4: Simplify right side
    551,648,078.86x = 1,385,195,574,189,482,240
  5. Step 5: Solve for x
    x = 1,385,195,574,189,482,240/551,648,078.86
  6. Step 6: Final answer
    x = 2,511,013,139.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.