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Finding the Third Proportional to 546,545,146.50 and 1,180,178,574

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Solution

The third proportional to 546,545,146.50 and 1,180,178,574 is: 2,548,410,639.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,545,146.50 : 1,180,178,574 = 1,180,178,574 : x
  2. Step 2: Convert to fraction form
    546,545,146.50/1,180,178,574 = 1,180,178,574/x
  3. Step 3: Cross multiply
    546,545,146.50x = 1,180,178,574 × 1,180,178,574
  4. Step 4: Simplify right side
    546,545,146.50x = 1,392,821,466,528,673,536
  5. Step 5: Solve for x
    x = 1,392,821,466,528,673,536/546,545,146.50
  6. Step 6: Final answer
    x = 2,548,410,639.90

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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.