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Finding the Third Proportional to 1,249,172,656.50 and 1,940,472,989.25

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Solution

The third proportional to 1,249,172,656.50 and 1,940,472,989.25 is: 3,014,343,455.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249,172,656.50 : 1,940,472,989.25 = 1,940,472,989.25 : x
  2. Step 2: Convert to fraction form
    1,249,172,656.50/1,940,472,989.25 = 1,940,472,989.25/x
  3. Step 3: Cross multiply
    1,249,172,656.50x = 1,940,472,989.25 × 1,940,472,989.25
  4. Step 4: Simplify right side
    1,249,172,656.50x = 3,765,435,422,008,830,464
  5. Step 5: Solve for x
    x = 3,765,435,422,008,830,464/1,249,172,656.50
  6. Step 6: Final answer
    x = 3,014,343,455.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.