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Finding the Third Proportional to 8,172,354,155 and 11,686,480,359

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Solution

The third proportional to 8,172,354,155 and 11,686,480,359 is: 16,711,686,815.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172,354,155 : 11,686,480,359 = 11,686,480,359 : x
  2. Step 2: Convert to fraction form
    8,172,354,155/11,686,480,359 = 11,686,480,359/x
  3. Step 3: Cross multiply
    8,172,354,155x = 11,686,480,359 × 11,686,480,359
  4. Step 4: Simplify right side
    8,172,354,155x = 136,573,823,181,292,765,184
  5. Step 5: Solve for x
    x = 136,573,823,181,292,765,184/8,172,354,155
  6. Step 6: Final answer
    x = 16,711,686,815.20

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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.