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Finding the Third Proportional to 14,482,760,031 and 31,273,312,446

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Solution

The third proportional to 14,482,760,031 and 31,273,312,446 is: 67,529,950,731.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,482,760,031 : 31,273,312,446 = 31,273,312,446 : x
  2. Step 2: Convert to fraction form
    14,482,760,031/31,273,312,446 = 31,273,312,446/x
  3. Step 3: Cross multiply
    14,482,760,031x = 31,273,312,446 × 31,273,312,446
  4. Step 4: Simplify right side
    14,482,760,031x = 978,020,071,345,138,565,120
  5. Step 5: Solve for x
    x = 978,020,071,345,138,565,120/14,482,760,031
  6. Step 6: Final answer
    x = 67,529,950,731.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.