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Finding the Third Proportional to 7,393,862,142 and 16,440,886,331

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Solution

The third proportional to 7,393,862,142 and 16,440,886,331 is: 36,557,720,195.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,393,862,142 : 16,440,886,331 = 16,440,886,331 : x
  2. Step 2: Convert to fraction form
    7,393,862,142/16,440,886,331 = 16,440,886,331/x
  3. Step 3: Cross multiply
    7,393,862,142x = 16,440,886,331 × 16,440,886,331
  4. Step 4: Simplify right side
    7,393,862,142x = 270,302,743,348,862,648,320
  5. Step 5: Solve for x
    x = 270,302,743,348,862,648,320/7,393,862,142
  6. Step 6: Final answer
    x = 36,557,720,195.17

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.