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Finding the Third Proportional to 4,931,748 and 7,738,407

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Solution

The third proportional to 4,931,748 and 7,738,407 is: 12,142,336.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,931,748 : 7,738,407 = 7,738,407 : x
  2. Step 2: Convert to fraction form
    4,931,748/7,738,407 = 7,738,407/x
  3. Step 3: Cross multiply
    4,931,748x = 7,738,407 × 7,738,407
  4. Step 4: Simplify right side
    4,931,748x = 59,882,942,897,649
  5. Step 5: Solve for x
    x = 59,882,942,897,649/4,931,748
  6. Step 6: Final answer
    x = 12,142,336.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.