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Finding the Third Proportional to 15,270,642 and 32,727,230

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Solution

The third proportional to 15,270,642 and 32,727,230 is: 70,139,263.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,270,642 : 32,727,230 = 32,727,230 : x
  2. Step 2: Convert to fraction form
    15,270,642/32,727,230 = 32,727,230/x
  3. Step 3: Cross multiply
    15,270,642x = 32,727,230 × 32,727,230
  4. Step 4: Simplify right side
    15,270,642x = 1,071,071,583,472,900
  5. Step 5: Solve for x
    x = 1,071,071,583,472,900/15,270,642
  6. Step 6: Final answer
    x = 70,139,263.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.