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Finding the Third Proportional to 14,721,920 and 32,173,216

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Solution

The third proportional to 14,721,920 and 32,173,216 is: 70,311,197.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,721,920 : 32,173,216 = 32,173,216 : x
  2. Step 2: Convert to fraction form
    14,721,920/32,173,216 = 32,173,216/x
  3. Step 3: Cross multiply
    14,721,920x = 32,173,216 × 32,173,216
  4. Step 4: Simplify right side
    14,721,920x = 1,035,115,827,782,656
  5. Step 5: Solve for x
    x = 1,035,115,827,782,656/14,721,920
  6. Step 6: Final answer
    x = 70,311,197.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.