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Finding the Third Proportional to 27,730,630 and 40,569,148

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Solution

The third proportional to 27,730,630 and 40,569,148 is: 59,351,546.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,730,630 : 40,569,148 = 40,569,148 : x
  2. Step 2: Convert to fraction form
    27,730,630/40,569,148 = 40,569,148/x
  3. Step 3: Cross multiply
    27,730,630x = 40,569,148 × 40,569,148
  4. Step 4: Simplify right side
    27,730,630x = 1,645,855,769,445,904
  5. Step 5: Solve for x
    x = 1,645,855,769,445,904/27,730,630
  6. Step 6: Final answer
    x = 59,351,546.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.