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Finding the Third Proportional to 34,239,713,664 and 48,217,061,952

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Solution

The third proportional to 34,239,713,664 and 48,217,061,952 is: 67,900,248,410.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,239,713,664 : 48,217,061,952 = 48,217,061,952 : x
  2. Step 2: Convert to fraction form
    34,239,713,664/48,217,061,952 = 48,217,061,952/x
  3. Step 3: Cross multiply
    34,239,713,664x = 48,217,061,952 × 48,217,061,952
  4. Step 4: Simplify right side
    34,239,713,664x = 2,324,885,063,283,005,980,672
  5. Step 5: Solve for x
    x = 2,324,885,063,283,005,980,672/34,239,713,664
  6. Step 6: Final answer
    x = 67,900,248,410.30

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.