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Finding the Third Proportional to 4,513,834,616 and 6,971,989,620

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Solution

The third proportional to 4,513,834,616 and 6,971,989,620 is: 10,768,812,638.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,513,834,616 : 6,971,989,620 = 6,971,989,620 : x
  2. Step 2: Convert to fraction form
    4,513,834,616/6,971,989,620 = 6,971,989,620/x
  3. Step 3: Cross multiply
    4,513,834,616x = 6,971,989,620 × 6,971,989,620
  4. Step 4: Simplify right side
    4,513,834,616x = 48,608,639,261,387,743,232
  5. Step 5: Solve for x
    x = 48,608,639,261,387,743,232/4,513,834,616
  6. Step 6: Final answer
    x = 10,768,812,638.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.