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Finding the Third Proportional to 353,007,681 and 769,576,606

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Solution

The third proportional to 353,007,681 and 769,576,606 is: 1,677,720,300.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,007,681 : 769,576,606 = 769,576,606 : x
  2. Step 2: Convert to fraction form
    353,007,681/769,576,606 = 769,576,606/x
  3. Step 3: Cross multiply
    353,007,681x = 769,576,606 × 769,576,606
  4. Step 4: Simplify right side
    353,007,681x = 592,248,152,502,479,232
  5. Step 5: Solve for x
    x = 592,248,152,502,479,232/353,007,681
  6. Step 6: Final answer
    x = 1,677,720,300.09

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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.