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Finding the Third Proportional to 10,988,064 and 16,153,212

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Solution

The third proportional to 10,988,064 and 16,153,212 is: 23,746,335.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,988,064 : 16,153,212 = 16,153,212 : x
  2. Step 2: Convert to fraction form
    10,988,064/16,153,212 = 16,153,212/x
  3. Step 3: Cross multiply
    10,988,064x = 16,153,212 × 16,153,212
  4. Step 4: Simplify right side
    10,988,064x = 260,926,257,916,944
  5. Step 5: Solve for x
    x = 260,926,257,916,944/10,988,064
  6. Step 6: Final answer
    x = 23,746,335.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.