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Finding the Third Proportional to 7,101,215,211 and 15,438,434,886

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Solution

The third proportional to 7,101,215,211 and 15,438,434,886 is: 33,564,011,883.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101,215,211 : 15,438,434,886 = 15,438,434,886 : x
  2. Step 2: Convert to fraction form
    7,101,215,211/15,438,434,886 = 15,438,434,886/x
  3. Step 3: Cross multiply
    7,101,215,211x = 15,438,434,886 × 15,438,434,886
  4. Step 4: Simplify right side
    7,101,215,211x = 238,345,271,729,261,838,336
  5. Step 5: Solve for x
    x = 238,345,271,729,261,838,336/7,101,215,211
  6. Step 6: Final answer
    x = 33,564,011,883.50

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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.