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Finding the Third Proportional to 408,789,371.25 and 896,721,248.25

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Solution

The third proportional to 408,789,371.25 and 896,721,248.25 is: 1,967,049,668.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,789,371.25 : 896,721,248.25 = 896,721,248.25 : x
  2. Step 2: Convert to fraction form
    408,789,371.25/896,721,248.25 = 896,721,248.25/x
  3. Step 3: Cross multiply
    408,789,371.25x = 896,721,248.25 × 896,721,248.25
  4. Step 4: Simplify right side
    408,789,371.25x = 804,108,997,063,038,080
  5. Step 5: Solve for x
    x = 804,108,997,063,038,080/408,789,371.25
  6. Step 6: Final answer
    x = 1,967,049,668.16

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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.