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Finding the Third Proportional to 544,861,836 and 1,210,656,024

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Solution

The third proportional to 544,861,836 and 1,210,656,024 is: 2,690,017,746.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,861,836 : 1,210,656,024 = 1,210,656,024 : x
  2. Step 2: Convert to fraction form
    544,861,836/1,210,656,024 = 1,210,656,024/x
  3. Step 3: Cross multiply
    544,861,836x = 1,210,656,024 × 1,210,656,024
  4. Step 4: Simplify right side
    544,861,836x = 1,465,688,008,447,488,512
  5. Step 5: Solve for x
    x = 1,465,688,008,447,488,512/544,861,836
  6. Step 6: Final answer
    x = 2,690,017,746.90

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.