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Finding the Third Proportional to 10,176,000 and 13,771,008

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Solution

The third proportional to 10,176,000 and 13,771,008 is: 18,636,071.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,176,000 : 13,771,008 = 13,771,008 : x
  2. Step 2: Convert to fraction form
    10,176,000/13,771,008 = 13,771,008/x
  3. Step 3: Cross multiply
    10,176,000x = 13,771,008 × 13,771,008
  4. Step 4: Simplify right side
    10,176,000x = 189,640,661,336,064
  5. Step 5: Solve for x
    x = 189,640,661,336,064/10,176,000
  6. Step 6: Final answer
    x = 18,636,071.28

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.