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Finding the Third Proportional to 55,374,657.75 and 120,713,287.50

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Solution

The third proportional to 55,374,657.75 and 120,713,287.50 is: 263,147,410.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,374,657.75 : 120,713,287.50 = 120,713,287.50 : x
  2. Step 2: Convert to fraction form
    55,374,657.75/120,713,287.50 = 120,713,287.50/x
  3. Step 3: Cross multiply
    55,374,657.75x = 120,713,287.50 × 120,713,287.50
  4. Step 4: Simplify right side
    55,374,657.75x = 14,571,697,779,057,656
  5. Step 5: Solve for x
    x = 14,571,697,779,057,656/55,374,657.75
  6. Step 6: Final answer
    x = 263,147,410.23

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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.