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Finding the Third Proportional to 7,782,996,780 and 12,061,512,036

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Solution

The third proportional to 7,782,996,780 and 12,061,512,036 is: 18,692,038,132.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782,996,780 : 12,061,512,036 = 12,061,512,036 : x
  2. Step 2: Convert to fraction form
    7,782,996,780/12,061,512,036 = 12,061,512,036/x
  3. Step 3: Cross multiply
    7,782,996,780x = 12,061,512,036 × 12,061,512,036
  4. Step 4: Simplify right side
    7,782,996,780x = 145,480,072,594,572,869,632
  5. Step 5: Solve for x
    x = 145,480,072,594,572,869,632/7,782,996,780
  6. Step 6: Final answer
    x = 18,692,038,132.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.