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Finding the Third Proportional to 593,571,624.75 and 1,268,655,779.25

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Solution

The third proportional to 593,571,624.75 and 1,268,655,779.25 is: 2,711,530,368.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,571,624.75 : 1,268,655,779.25 = 1,268,655,779.25 : x
  2. Step 2: Convert to fraction form
    593,571,624.75/1,268,655,779.25 = 1,268,655,779.25/x
  3. Step 3: Cross multiply
    593,571,624.75x = 1,268,655,779.25 × 1,268,655,779.25
  4. Step 4: Simplify right side
    593,571,624.75x = 1,609,487,486,224,424,704
  5. Step 5: Solve for x
    x = 1,609,487,486,224,424,704/593,571,624.75
  6. Step 6: Final answer
    x = 2,711,530,368.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.