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Finding the Third Proportional to 5,742,640.13 and 8,896,288.50

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Solution

The third proportional to 5,742,640.13 and 8,896,288.50 is: 13,781,805.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742,640.13 : 8,896,288.50 = 8,896,288.50 : x
  2. Step 2: Convert to fraction form
    5,742,640.13/8,896,288.50 = 8,896,288.50/x
  3. Step 3: Cross multiply
    5,742,640.13x = 8,896,288.50 × 8,896,288.50
  4. Step 4: Simplify right side
    5,742,640.13x = 79,143,949,075,232.25
  5. Step 5: Solve for x
    x = 79,143,949,075,232.25/5,742,640.13
  6. Step 6: Final answer
    x = 13,781,805.47

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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.