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Finding the Third Proportional to 7,101,215,216 and 15,438,434,896

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Solution

The third proportional to 7,101,215,216 and 15,438,434,896 is: 33,564,011,903.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101,215,216 : 15,438,434,896 = 15,438,434,896 : x
  2. Step 2: Convert to fraction form
    7,101,215,216/15,438,434,896 = 15,438,434,896/x
  3. Step 3: Cross multiply
    7,101,215,216x = 15,438,434,896 × 15,438,434,896
  4. Step 4: Simplify right side
    7,101,215,216x = 238,345,272,038,030,540,800
  5. Step 5: Solve for x
    x = 238,345,272,038,030,540,800/7,101,215,216
  6. Step 6: Final answer
    x = 33,564,011,903.34

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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.