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Finding the Third Proportional to 2,993,271.75 and 6,565,972.50

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Solution

The third proportional to 2,993,271.75 and 6,565,972.50 is: 14,402,967.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993,271.75 : 6,565,972.50 = 6,565,972.50 : x
  2. Step 2: Convert to fraction form
    2,993,271.75/6,565,972.50 = 6,565,972.50/x
  3. Step 3: Cross multiply
    2,993,271.75x = 6,565,972.50 × 6,565,972.50
  4. Step 4: Simplify right side
    2,993,271.75x = 43,111,994,870,756.25
  5. Step 5: Solve for x
    x = 43,111,994,870,756.25/2,993,271.75
  6. Step 6: Final answer
    x = 14,402,967.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.