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Finding the Third Proportional to 6,971,706 and 15,101,144.50

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Solution

The third proportional to 6,971,706 and 15,101,144.50 is: 32,710,008.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971,706 : 15,101,144.50 = 15,101,144.50 : x
  2. Step 2: Convert to fraction form
    6,971,706/15,101,144.50 = 15,101,144.50/x
  3. Step 3: Cross multiply
    6,971,706x = 15,101,144.50 × 15,101,144.50
  4. Step 4: Simplify right side
    6,971,706x = 228,044,565,209,880.25
  5. Step 5: Solve for x
    x = 228,044,565,209,880.25/6,971,706
  6. Step 6: Final answer
    x = 32,710,008.89

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.