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Finding the Third Proportional to 10,447,911 and 15,829,870.50

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Solution

The third proportional to 10,447,911 and 15,829,870.50 is: 23,984,201.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447,911 : 15,829,870.50 = 15,829,870.50 : x
  2. Step 2: Convert to fraction form
    10,447,911/15,829,870.50 = 15,829,870.50/x
  3. Step 3: Cross multiply
    10,447,911x = 15,829,870.50 × 15,829,870.50
  4. Step 4: Simplify right side
    10,447,911x = 250,584,800,046,770.25
  5. Step 5: Solve for x
    x = 250,584,800,046,770.25/10,447,911
  6. Step 6: Final answer
    x = 23,984,201.25

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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.