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Finding the Third Proportional to 21,767,058 and 31,465,900.50

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Solution

The third proportional to 21,767,058 and 31,465,900.50 is: 45,486,298.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,767,058 : 31,465,900.50 = 31,465,900.50 : x
  2. Step 2: Convert to fraction form
    21,767,058/31,465,900.50 = 31,465,900.50/x
  3. Step 3: Cross multiply
    21,767,058x = 31,465,900.50 × 31,465,900.50
  4. Step 4: Simplify right side
    21,767,058x = 990,102,894,275,900.25
  5. Step 5: Solve for x
    x = 990,102,894,275,900.25/21,767,058
  6. Step 6: Final answer
    x = 45,486,298.34

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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.