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Finding the Third Proportional to 14,675,369 and 31,126,590

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Solution

The third proportional to 14,675,369 and 31,126,590 is: 66,019,778.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,675,369 : 31,126,590 = 31,126,590 : x
  2. Step 2: Convert to fraction form
    14,675,369/31,126,590 = 31,126,590/x
  3. Step 3: Cross multiply
    14,675,369x = 31,126,590 × 31,126,590
  4. Step 4: Simplify right side
    14,675,369x = 968,864,605,028,100
  5. Step 5: Solve for x
    x = 968,864,605,028,100/14,675,369
  6. Step 6: Final answer
    x = 66,019,778.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.