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Finding the Third Proportional to 519,730,204 and 1,155,663,888

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Solution

The third proportional to 519,730,204 and 1,155,663,888 is: 2,569,716,002.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,730,204 : 1,155,663,888 = 1,155,663,888 : x
  2. Step 2: Convert to fraction form
    519,730,204/1,155,663,888 = 1,155,663,888/x
  3. Step 3: Cross multiply
    519,730,204x = 1,155,663,888 × 1,155,663,888
  4. Step 4: Simplify right side
    519,730,204x = 1,335,559,022,027,276,544
  5. Step 5: Solve for x
    x = 1,335,559,022,027,276,544/519,730,204
  6. Step 6: Final answer
    x = 2,569,716,002.16

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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.