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Finding the Third Proportional to 10,975,468.50 and 16,304,098.50

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Solution

The third proportional to 10,975,468.50 and 16,304,098.50 is: 24,219,797.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,975,468.50 : 16,304,098.50 = 16,304,098.50 : x
  2. Step 2: Convert to fraction form
    10,975,468.50/16,304,098.50 = 16,304,098.50/x
  3. Step 3: Cross multiply
    10,975,468.50x = 16,304,098.50 × 16,304,098.50
  4. Step 4: Simplify right side
    10,975,468.50x = 265,823,627,897,702.25
  5. Step 5: Solve for x
    x = 265,823,627,897,702.25/10,975,468.50
  6. Step 6: Final answer
    x = 24,219,797.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.