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Finding the Third Proportional to 4,177,199,446 and 6,265,799,913

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Solution

The third proportional to 4,177,199,446 and 6,265,799,913 is: 9,398,700,985.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,177,199,446 : 6,265,799,913 = 6,265,799,913 : x
  2. Step 2: Convert to fraction form
    4,177,199,446/6,265,799,913 = 6,265,799,913/x
  3. Step 3: Cross multiply
    4,177,199,446x = 6,265,799,913 × 6,265,799,913
  4. Step 4: Simplify right side
    4,177,199,446x = 39,260,248,549,750,808,576
  5. Step 5: Solve for x
    x = 39,260,248,549,750,808,576/4,177,199,446
  6. Step 6: Final answer
    x = 9,398,700,985.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.