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Finding the Third Proportional to 519,730,222 and 1,155,663,924

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Solution

The third proportional to 519,730,222 and 1,155,663,924 is: 2,569,716,073.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,730,222 : 1,155,663,924 = 1,155,663,924 : x
  2. Step 2: Convert to fraction form
    519,730,222/1,155,663,924 = 1,155,663,924/x
  3. Step 3: Cross multiply
    519,730,222x = 1,155,663,924 × 1,155,663,924
  4. Step 4: Simplify right side
    519,730,222x = 1,335,559,105,235,077,888
  5. Step 5: Solve for x
    x = 1,335,559,105,235,077,888/519,730,222
  6. Step 6: Final answer
    x = 2,569,716,073.27

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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.