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Finding the Third Proportional to 13,006,098 and 18,299,263.50

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Solution

The third proportional to 13,006,098 and 18,299,263.50 is: 25,746,618.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006,098 : 18,299,263.50 = 18,299,263.50 : x
  2. Step 2: Convert to fraction form
    13,006,098/18,299,263.50 = 18,299,263.50/x
  3. Step 3: Cross multiply
    13,006,098x = 18,299,263.50 × 18,299,263.50
  4. Step 4: Simplify right side
    13,006,098x = 334,863,044,642,432.25
  5. Step 5: Solve for x
    x = 334,863,044,642,432.25/13,006,098
  6. Step 6: Final answer
    x = 25,746,618.60

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.