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Finding the Third Proportional to 10,271,620 and 15,896,454

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Solution

The third proportional to 10,271,620 and 15,896,454 is: 24,601,499.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,271,620 : 15,896,454 = 15,896,454 : x
  2. Step 2: Convert to fraction form
    10,271,620/15,896,454 = 15,896,454/x
  3. Step 3: Cross multiply
    10,271,620x = 15,896,454 × 15,896,454
  4. Step 4: Simplify right side
    10,271,620x = 252,697,249,774,116
  5. Step 5: Solve for x
    x = 252,697,249,774,116/10,271,620
  6. Step 6: Final answer
    x = 24,601,499.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.