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Finding the Third Proportional to 7,465,071 and 16,376,478

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Solution

The third proportional to 7,465,071 and 16,376,478 is: 35,925,851.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,465,071 : 16,376,478 = 16,376,478 : x
  2. Step 2: Convert to fraction form
    7,465,071/16,376,478 = 16,376,478/x
  3. Step 3: Cross multiply
    7,465,071x = 16,376,478 × 16,376,478
  4. Step 4: Simplify right side
    7,465,071x = 268,189,031,684,484
  5. Step 5: Solve for x
    x = 268,189,031,684,484/7,465,071
  6. Step 6: Final answer
    x = 35,925,851.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.