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Finding the Third Proportional to 14,332,772 and 31,184,842

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Solution

The third proportional to 14,332,772 and 31,184,842 is: 67,851,101.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,332,772 : 31,184,842 = 31,184,842 : x
  2. Step 2: Convert to fraction form
    14,332,772/31,184,842 = 31,184,842/x
  3. Step 3: Cross multiply
    14,332,772x = 31,184,842 × 31,184,842
  4. Step 4: Simplify right side
    14,332,772x = 972,494,370,564,964
  5. Step 5: Solve for x
    x = 972,494,370,564,964/14,332,772
  6. Step 6: Final answer
    x = 67,851,101.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.