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Finding the Third Proportional to 15,316,748 and 32,306,648

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Solution

The third proportional to 15,316,748 and 32,306,648 is: 68,142,369.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,316,748 : 32,306,648 = 32,306,648 : x
  2. Step 2: Convert to fraction form
    15,316,748/32,306,648 = 32,306,648/x
  3. Step 3: Cross multiply
    15,316,748x = 32,306,648 × 32,306,648
  4. Step 4: Simplify right side
    15,316,748x = 1,043,719,504,995,904
  5. Step 5: Solve for x
    x = 1,043,719,504,995,904/15,316,748
  6. Step 6: Final answer
    x = 68,142,369.71

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.