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Finding the Third Proportional to 11,359,267.31 and 24,774,557.06

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Solution

The third proportional to 11,359,267.31 and 24,774,557.06 is: 54,033,298.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,359,267.31 : 24,774,557.06 = 24,774,557.06 : x
  2. Step 2: Convert to fraction form
    11,359,267.31/24,774,557.06 = 24,774,557.06/x
  3. Step 3: Cross multiply
    11,359,267.31x = 24,774,557.06 × 24,774,557.06
  4. Step 4: Simplify right side
    11,359,267.31x = 613,778,677,643,068.62
  5. Step 5: Solve for x
    x = 613,778,677,643,068.62/11,359,267.31
  6. Step 6: Final answer
    x = 54,033,298.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.