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Finding the Third Proportional to 13,908,069 and 21,275,445

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Solution

The third proportional to 13,908,069 and 21,275,445 is: 32,545,464.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,908,069 : 21,275,445 = 21,275,445 : x
  2. Step 2: Convert to fraction form
    13,908,069/21,275,445 = 21,275,445/x
  3. Step 3: Cross multiply
    13,908,069x = 21,275,445 × 21,275,445
  4. Step 4: Simplify right side
    13,908,069x = 452,644,559,948,025
  5. Step 5: Solve for x
    x = 452,644,559,948,025/13,908,069
  6. Step 6: Final answer
    x = 32,545,464.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.