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Finding the Third Proportional to 21,767,051 and 31,465,891

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Solution

The third proportional to 21,767,051 and 31,465,891 is: 45,486,285.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,767,051 : 31,465,891 = 31,465,891 : x
  2. Step 2: Convert to fraction form
    21,767,051/31,465,891 = 31,465,891/x
  3. Step 3: Cross multiply
    21,767,051x = 31,465,891 × 31,465,891
  4. Step 4: Simplify right side
    21,767,051x = 990,102,296,423,881
  5. Step 5: Solve for x
    x = 990,102,296,423,881/21,767,051
  6. Step 6: Final answer
    x = 45,486,285.51

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.