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Finding the Third Proportional to 4,513,834,560 and 6,971,989,536

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Solution

The third proportional to 4,513,834,560 and 6,971,989,536 is: 10,768,812,512.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,513,834,560 : 6,971,989,536 = 6,971,989,536 : x
  2. Step 2: Convert to fraction form
    4,513,834,560/6,971,989,536 = 6,971,989,536/x
  3. Step 3: Cross multiply
    4,513,834,560x = 6,971,989,536 × 6,971,989,536
  4. Step 4: Simplify right side
    4,513,834,560x = 48,608,638,090,093,494,272
  5. Step 5: Solve for x
    x = 48,608,638,090,093,494,272/4,513,834,560
  6. Step 6: Final answer
    x = 10,768,812,512.72

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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.