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Finding the Third Proportional to 353,007,730.13 and 769,576,717.13

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Solution

The third proportional to 353,007,730.13 and 769,576,717.13 is: 1,677,720,551.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,007,730.13 : 769,576,717.13 = 769,576,717.13 : x
  2. Step 2: Convert to fraction form
    353,007,730.13/769,576,717.13 = 769,576,717.13/x
  3. Step 3: Cross multiply
    353,007,730.13x = 769,576,717.13 × 769,576,717.13
  4. Step 4: Simplify right side
    353,007,730.13x = 592,248,323,540,892,288
  5. Step 5: Solve for x
    x = 592,248,323,540,892,288/353,007,730.13
  6. Step 6: Final answer
    x = 1,677,720,551.14

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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.