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Finding the Third Proportional to 8,187,945,417 and 11,700,787,359

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Solution

The third proportional to 8,187,945,417 and 11,700,787,359 is: 16,720,730,030.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187,945,417 : 11,700,787,359 = 11,700,787,359 : x
  2. Step 2: Convert to fraction form
    8,187,945,417/11,700,787,359 = 11,700,787,359/x
  3. Step 3: Cross multiply
    8,187,945,417x = 11,700,787,359 × 11,700,787,359
  4. Step 4: Simplify right side
    8,187,945,417x = 136,908,424,820,534,198,272
  5. Step 5: Solve for x
    x = 136,908,424,820,534,198,272/8,187,945,417
  6. Step 6: Final answer
    x = 16,720,730,030.31

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.