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Finding the Third Proportional to 798,798,234,873 and 1,710,699,396,732

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Solution

The third proportional to 798,798,234,873 and 1,710,699,396,732 is: 3,663,619,044,481.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,798,234,873 : 1,710,699,396,732 = 1,710,699,396,732 : x
  2. Step 2: Convert to fraction form
    798,798,234,873/1,710,699,396,732 = 1,710,699,396,732/x
  3. Step 3: Cross multiply
    798,798,234,873x = 1,710,699,396,732 × 1,710,699,396,732
  4. Step 4: Simplify right side
    798,798,234,873x = 2,926,492,425,979,228,745,367,552
  5. Step 5: Solve for x
    x = 2,926,492,425,979,228,745,367,552/798,798,234,873
  6. Step 6: Final answer
    x = 3,663,619,044,481.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.