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Finding the Third Proportional to 6,971,870 and 15,101,486

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Solution

The third proportional to 6,971,870 and 15,101,486 is: 32,710,718.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971,870 : 15,101,486 = 15,101,486 : x
  2. Step 2: Convert to fraction form
    6,971,870/15,101,486 = 15,101,486/x
  3. Step 3: Cross multiply
    6,971,870x = 15,101,486 × 15,101,486
  4. Step 4: Simplify right side
    6,971,870x = 228,054,879,408,196
  5. Step 5: Solve for x
    x = 228,054,879,408,196/6,971,870
  6. Step 6: Final answer
    x = 32,710,718.85

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Why These Related Problems?

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