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Finding the Third Proportional to 3,254,586,219 and 7,063,996,842

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Solution

The third proportional to 3,254,586,219 and 7,063,996,842 is: 15,332,225,980.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254,586,219 : 7,063,996,842 = 7,063,996,842 : x
  2. Step 2: Convert to fraction form
    3,254,586,219/7,063,996,842 = 7,063,996,842/x
  3. Step 3: Cross multiply
    3,254,586,219x = 7,063,996,842 × 7,063,996,842
  4. Step 4: Simplify right side
    3,254,586,219x = 49,900,051,383,785,971,712
  5. Step 5: Solve for x
    x = 49,900,051,383,785,971,712/3,254,586,219
  6. Step 6: Final answer
    x = 15,332,225,980.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.