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Finding the Third Proportional to 7,101,215,218 and 15,438,434,900

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Solution

The third proportional to 7,101,215,218 and 15,438,434,900 is: 33,564,011,911.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101,215,218 : 15,438,434,900 = 15,438,434,900 : x
  2. Step 2: Convert to fraction form
    7,101,215,218/15,438,434,900 = 15,438,434,900/x
  3. Step 3: Cross multiply
    7,101,215,218x = 15,438,434,900 × 15,438,434,900
  4. Step 4: Simplify right side
    7,101,215,218x = 238,345,272,161,538,015,232
  5. Step 5: Solve for x
    x = 238,345,272,161,538,015,232/7,101,215,218
  6. Step 6: Final answer
    x = 33,564,011,911.28

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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.