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Finding the Third Proportional to 353,007,679 and 769,576,602

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Solution

The third proportional to 353,007,679 and 769,576,602 is: 1,677,720,292.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,007,679 : 769,576,602 = 769,576,602 : x
  2. Step 2: Convert to fraction form
    353,007,679/769,576,602 = 769,576,602/x
  3. Step 3: Cross multiply
    353,007,679x = 769,576,602 × 769,576,602
  4. Step 4: Simplify right side
    353,007,679x = 592,248,146,345,866,368
  5. Step 5: Solve for x
    x = 592,248,146,345,866,368/353,007,679
  6. Step 6: Final answer
    x = 1,677,720,292.16

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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.