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Finding the Third Proportional to 15,427,476 and 32,905,264.50

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Solution

The third proportional to 15,427,476 and 32,905,264.50 is: 70,183,640.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,427,476 : 32,905,264.50 = 32,905,264.50 : x
  2. Step 2: Convert to fraction form
    15,427,476/32,905,264.50 = 32,905,264.50/x
  3. Step 3: Cross multiply
    15,427,476x = 32,905,264.50 × 32,905,264.50
  4. Step 4: Simplify right side
    15,427,476x = 1,082,756,431,814,960.25
  5. Step 5: Solve for x
    x = 1,082,756,431,814,960.25/15,427,476
  6. Step 6: Final answer
    x = 70,183,640.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.