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Finding the Third Proportional to 34,154,974 and 52,828,509

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Solution

The third proportional to 34,154,974 and 52,828,509 is: 81,711,418.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,154,974 : 52,828,509 = 52,828,509 : x
  2. Step 2: Convert to fraction form
    34,154,974/52,828,509 = 52,828,509/x
  3. Step 3: Cross multiply
    34,154,974x = 52,828,509 × 52,828,509
  4. Step 4: Simplify right side
    34,154,974x = 2,790,851,363,163,081
  5. Step 5: Solve for x
    x = 2,790,851,363,163,081/34,154,974
  6. Step 6: Final answer
    x = 81,711,418.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.