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Finding the Third Proportional to 353,007,685 and 769,576,614

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Solution

The third proportional to 353,007,685 and 769,576,614 is: 1,677,720,315.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,007,685 : 769,576,614 = 769,576,614 : x
  2. Step 2: Convert to fraction form
    353,007,685/769,576,614 = 769,576,614/x
  3. Step 3: Cross multiply
    353,007,685x = 769,576,614 × 769,576,614
  4. Step 4: Simplify right side
    353,007,685x = 592,248,164,815,704,960
  5. Step 5: Solve for x
    x = 592,248,164,815,704,960/353,007,685
  6. Step 6: Final answer
    x = 1,677,720,315.96

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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.