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Finding the Third Proportional to 31,582,766,672 and 70,226,989,190

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Solution

The third proportional to 31,582,766,672 and 70,226,989,190 is: 156,155,730,810.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,582,766,672 : 70,226,989,190 = 70,226,989,190 : x
  2. Step 2: Convert to fraction form
    31,582,766,672/70,226,989,190 = 70,226,989,190/x
  3. Step 3: Cross multiply
    31,582,766,672x = 70,226,989,190 × 70,226,989,190
  4. Step 4: Simplify right side
    31,582,766,672x = 4,931,830,010,692,376,723,456
  5. Step 5: Solve for x
    x = 4,931,830,010,692,376,723,456/31,582,766,672
  6. Step 6: Final answer
    x = 156,155,730,810.78

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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.