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Finding the Third Proportional to 897,882,234,480 and 1,953,827,951,904

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Solution

The third proportional to 897,882,234,480 and 1,953,827,951,904 is: 4,251,608,417,057.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,882,234,480 : 1,953,827,951,904 = 1,953,827,951,904 : x
  2. Step 2: Convert to fraction form
    897,882,234,480/1,953,827,951,904 = 1,953,827,951,904/x
  3. Step 3: Cross multiply
    897,882,234,480x = 1,953,827,951,904 × 1,953,827,951,904
  4. Step 4: Simplify right side
    897,882,234,480x = 3,817,443,665,641,379,523,985,408
  5. Step 5: Solve for x
    x = 3,817,443,665,641,379,523,985,408/897,882,234,480
  6. Step 6: Final answer
    x = 4,251,608,417,057.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.