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Finding the Third Proportional to 348,454,289 and 758,358,877

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Solution

The third proportional to 348,454,289 and 758,358,877 is: 1,650,455,180.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,454,289 : 758,358,877 = 758,358,877 : x
  2. Step 2: Convert to fraction form
    348,454,289/758,358,877 = 758,358,877/x
  3. Step 3: Cross multiply
    348,454,289x = 758,358,877 × 758,358,877
  4. Step 4: Simplify right side
    348,454,289x = 575,108,186,324,701,120
  5. Step 5: Solve for x
    x = 575,108,186,324,701,120/348,454,289
  6. Step 6: Final answer
    x = 1,650,455,180.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.