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Finding the Third Proportional to 1,817,792,451 and 3,975,706,494

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Solution

The third proportional to 1,817,792,451 and 3,975,706,494 is: 8,695,295,283.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817,792,451 : 3,975,706,494 = 3,975,706,494 : x
  2. Step 2: Convert to fraction form
    1,817,792,451/3,975,706,494 = 3,975,706,494/x
  3. Step 3: Cross multiply
    1,817,792,451x = 3,975,706,494 × 3,975,706,494
  4. Step 4: Simplify right side
    1,817,792,451x = 15,806,242,126,433,771,520
  5. Step 5: Solve for x
    x = 15,806,242,126,433,771,520/1,817,792,451
  6. Step 6: Final answer
    x = 8,695,295,283.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.