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Finding the Third Proportional to 408,789,352.69 and 896,721,202.69

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Solution

The third proportional to 408,789,352.69 and 896,721,202.69 is: 1,967,049,557.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,789,352.69 : 896,721,202.69 = 896,721,202.69 : x
  2. Step 2: Convert to fraction form
    408,789,352.69/896,721,202.69 = 896,721,202.69/x
  3. Step 3: Cross multiply
    408,789,352.69x = 896,721,202.69 × 896,721,202.69
  4. Step 4: Simplify right side
    408,789,352.69x = 804,108,915,349,316,480
  5. Step 5: Solve for x
    x = 804,108,915,349,316,480/408,789,352.69
  6. Step 6: Final answer
    x = 1,967,049,557.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.