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Finding the Third Proportional to 9,925,730 and 14,971,539

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Solution

The third proportional to 9,925,730 and 14,971,539 is: 22,582,417.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,925,730 : 14,971,539 = 14,971,539 : x
  2. Step 2: Convert to fraction form
    9,925,730/14,971,539 = 14,971,539/x
  3. Step 3: Cross multiply
    9,925,730x = 14,971,539 × 14,971,539
  4. Step 4: Simplify right side
    9,925,730x = 224,146,980,028,521
  5. Step 5: Solve for x
    x = 224,146,980,028,521/9,925,730
  6. Step 6: Final answer
    x = 22,582,417.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.