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Finding the Third Proportional to 581,796,120 and 1,254,265,584

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Solution

The third proportional to 581,796,120 and 1,254,265,584 is: 2,704,009,361.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,796,120 : 1,254,265,584 = 1,254,265,584 : x
  2. Step 2: Convert to fraction form
    581,796,120/1,254,265,584 = 1,254,265,584/x
  3. Step 3: Cross multiply
    581,796,120x = 1,254,265,584 × 1,254,265,584
  4. Step 4: Simplify right side
    581,796,120x = 1,573,182,155,206,861,056
  5. Step 5: Solve for x
    x = 1,573,182,155,206,861,056/581,796,120
  6. Step 6: Final answer
    x = 2,704,009,361.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.