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Finding the Third Proportional to 8,191,323 and 12,718,590

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Solution

The third proportional to 8,191,323 and 12,718,590 is: 19,748,034.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191,323 : 12,718,590 = 12,718,590 : x
  2. Step 2: Convert to fraction form
    8,191,323/12,718,590 = 12,718,590/x
  3. Step 3: Cross multiply
    8,191,323x = 12,718,590 × 12,718,590
  4. Step 4: Simplify right side
    8,191,323x = 161,762,531,588,100
  5. Step 5: Solve for x
    x = 161,762,531,588,100/8,191,323
  6. Step 6: Final answer
    x = 19,748,034.79

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.