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Finding the Third Proportional to 5,759,646.75 and 12,374,041.50

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Solution

The third proportional to 5,759,646.75 and 12,374,041.50 is: 26,584,426.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759,646.75 : 12,374,041.50 = 12,374,041.50 : x
  2. Step 2: Convert to fraction form
    5,759,646.75/12,374,041.50 = 12,374,041.50/x
  3. Step 3: Cross multiply
    5,759,646.75x = 12,374,041.50 × 12,374,041.50
  4. Step 4: Simplify right side
    5,759,646.75x = 153,116,903,043,722.25
  5. Step 5: Solve for x
    x = 153,116,903,043,722.25/5,759,646.75
  6. Step 6: Final answer
    x = 26,584,426.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.