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Finding the Third Proportional to 10,658,304 and 16,186,924.50

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Solution

The third proportional to 10,658,304 and 16,186,924.50 is: 24,583,322.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658,304 : 16,186,924.50 = 16,186,924.50 : x
  2. Step 2: Convert to fraction form
    10,658,304/16,186,924.50 = 16,186,924.50/x
  3. Step 3: Cross multiply
    10,658,304x = 16,186,924.50 × 16,186,924.50
  4. Step 4: Simplify right side
    10,658,304x = 262,016,524,768,700.25
  5. Step 5: Solve for x
    x = 262,016,524,768,700.25/10,658,304
  6. Step 6: Final answer
    x = 24,583,322.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.