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Finding the Third Proportional to 31,582,766,661 and 70,226,989,170

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Solution

The third proportional to 31,582,766,661 and 70,226,989,170 is: 156,155,730,776.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,582,766,661 : 70,226,989,170 = 70,226,989,170 : x
  2. Step 2: Convert to fraction form
    31,582,766,661/70,226,989,170 = 70,226,989,170/x
  3. Step 3: Cross multiply
    31,582,766,661x = 70,226,989,170 × 70,226,989,170
  4. Step 4: Simplify right side
    31,582,766,661x = 4,931,830,007,883,297,193,984
  5. Step 5: Solve for x
    x = 4,931,830,007,883,297,193,984/31,582,766,661
  6. Step 6: Final answer
    x = 156,155,730,776.22

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.