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Finding the Third Proportional to 4,055,658,432 and 8,693,382,432

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Solution

The third proportional to 4,055,658,432 and 8,693,382,432 is: 18,634,433,687.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,055,658,432 : 8,693,382,432 = 8,693,382,432 : x
  2. Step 2: Convert to fraction form
    4,055,658,432/8,693,382,432 = 8,693,382,432/x
  3. Step 3: Cross multiply
    4,055,658,432x = 8,693,382,432 × 8,693,382,432
  4. Step 4: Simplify right side
    4,055,658,432x = 75,574,898,109,006,233,600
  5. Step 5: Solve for x
    x = 75,574,898,109,006,233,600/4,055,658,432
  6. Step 6: Final answer
    x = 18,634,433,687.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.