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Finding the Third Proportional to 9,371,178 and 14,156,613

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Solution

The third proportional to 9,371,178 and 14,156,613 is: 21,385,752.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,371,178 : 14,156,613 = 14,156,613 : x
  2. Step 2: Convert to fraction form
    9,371,178/14,156,613 = 14,156,613/x
  3. Step 3: Cross multiply
    9,371,178x = 14,156,613 × 14,156,613
  4. Step 4: Simplify right side
    9,371,178x = 200,409,691,631,769
  5. Step 5: Solve for x
    x = 200,409,691,631,769/9,371,178
  6. Step 6: Final answer
    x = 21,385,752.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.