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Finding the Third Proportional to 5,710,804 and 12,331,972.50

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Solution

The third proportional to 5,710,804 and 12,331,972.50 is: 26,629,796.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710,804 : 12,331,972.50 = 12,331,972.50 : x
  2. Step 2: Convert to fraction form
    5,710,804/12,331,972.50 = 12,331,972.50/x
  3. Step 3: Cross multiply
    5,710,804x = 12,331,972.50 × 12,331,972.50
  4. Step 4: Simplify right side
    5,710,804x = 152,077,545,740,756.25
  5. Step 5: Solve for x
    x = 152,077,545,740,756.25/5,710,804
  6. Step 6: Final answer
    x = 26,629,796.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.