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Finding the Third Proportional to 504,436,012 and 1,108,249,280

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Solution

The third proportional to 504,436,012 and 1,108,249,280 is: 2,434,831,053.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,436,012 : 1,108,249,280 = 1,108,249,280 : x
  2. Step 2: Convert to fraction form
    504,436,012/1,108,249,280 = 1,108,249,280/x
  3. Step 3: Cross multiply
    504,436,012x = 1,108,249,280 × 1,108,249,280
  4. Step 4: Simplify right side
    504,436,012x = 1,228,216,466,620,518,400
  5. Step 5: Solve for x
    x = 1,228,216,466,620,518,400/504,436,012
  6. Step 6: Final answer
    x = 2,434,831,053.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.