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Finding the Third Proportional to 14,365,720 and 31,010,288

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Solution

The third proportional to 14,365,720 and 31,010,288 is: 66,939,767.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,365,720 : 31,010,288 = 31,010,288 : x
  2. Step 2: Convert to fraction form
    14,365,720/31,010,288 = 31,010,288/x
  3. Step 3: Cross multiply
    14,365,720x = 31,010,288 × 31,010,288
  4. Step 4: Simplify right side
    14,365,720x = 961,637,961,842,944
  5. Step 5: Solve for x
    x = 961,637,961,842,944/14,365,720
  6. Step 6: Final answer
    x = 66,939,767.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.