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Finding the Third Proportional to 1,319,832,863 and 2,866,669,971

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Solution

The third proportional to 1,319,832,863 and 2,866,669,971 is: 6,226,391,956.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319,832,863 : 2,866,669,971 = 2,866,669,971 : x
  2. Step 2: Convert to fraction form
    1,319,832,863/2,866,669,971 = 2,866,669,971/x
  3. Step 3: Cross multiply
    1,319,832,863x = 2,866,669,971 × 2,866,669,971
  4. Step 4: Simplify right side
    1,319,832,863x = 8,217,796,722,633,141,248
  5. Step 5: Solve for x
    x = 8,217,796,722,633,141,248/1,319,832,863
  6. Step 6: Final answer
    x = 6,226,391,956.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.