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Finding the Third Proportional to 29,571,656 and 64,717,894

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Solution

The third proportional to 29,571,656 and 64,717,894 is: 141,635,821.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,571,656 : 64,717,894 = 64,717,894 : x
  2. Step 2: Convert to fraction form
    29,571,656/64,717,894 = 64,717,894/x
  3. Step 3: Cross multiply
    29,571,656x = 64,717,894 × 64,717,894
  4. Step 4: Simplify right side
    29,571,656x = 4,188,405,803,795,236
  5. Step 5: Solve for x
    x = 4,188,405,803,795,236/29,571,656
  6. Step 6: Final answer
    x = 141,635,821.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.