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Finding the Third Proportional to 1,097,316,614 and 1,671,700,353

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Solution

The third proportional to 1,097,316,614 and 1,671,700,353 is: 2,546,741,783.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097,316,614 : 1,671,700,353 = 1,671,700,353 : x
  2. Step 2: Convert to fraction form
    1,097,316,614/1,671,700,353 = 1,671,700,353/x
  3. Step 3: Cross multiply
    1,097,316,614x = 1,671,700,353 × 1,671,700,353
  4. Step 4: Simplify right side
    1,097,316,614x = 2,794,582,070,220,324,864
  5. Step 5: Solve for x
    x = 2,794,582,070,220,324,864/1,097,316,614
  6. Step 6: Final answer
    x = 2,546,741,783.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.