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Finding the Third Proportional to 6,971,872 and 15,101,488

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Solution

The third proportional to 6,971,872 and 15,101,488 is: 32,710,718.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971,872 : 15,101,488 = 15,101,488 : x
  2. Step 2: Convert to fraction form
    6,971,872/15,101,488 = 15,101,488/x
  3. Step 3: Cross multiply
    6,971,872x = 15,101,488 × 15,101,488
  4. Step 4: Simplify right side
    6,971,872x = 228,054,939,814,144
  5. Step 5: Solve for x
    x = 228,054,939,814,144/6,971,872
  6. Step 6: Final answer
    x = 32,710,718.13

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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.