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Finding the Third Proportional to 8,676,714,068 and 12,218,725,406

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Solution

The third proportional to 8,676,714,068 and 12,218,725,406 is: 17,206,657,886.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,676,714,068 : 12,218,725,406 = 12,218,725,406 : x
  2. Step 2: Convert to fraction form
    8,676,714,068/12,218,725,406 = 12,218,725,406/x
  3. Step 3: Cross multiply
    8,676,714,068x = 12,218,725,406 × 12,218,725,406
  4. Step 4: Simplify right side
    8,676,714,068x = 149,297,250,547,229,851,648
  5. Step 5: Solve for x
    x = 149,297,250,547,229,851,648/8,676,714,068
  6. Step 6: Final answer
    x = 17,206,657,886.52

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.