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Finding the Third Proportional to 529,988,976 and 1,158,235,488

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Solution

The third proportional to 529,988,976 and 1,158,235,488 is: 2,531,202,546.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,988,976 : 1,158,235,488 = 1,158,235,488 : x
  2. Step 2: Convert to fraction form
    529,988,976/1,158,235,488 = 1,158,235,488/x
  3. Step 3: Cross multiply
    529,988,976x = 1,158,235,488 × 1,158,235,488
  4. Step 4: Simplify right side
    529,988,976x = 1,341,509,445,662,598,144
  5. Step 5: Solve for x
    x = 1,341,509,445,662,598,144/529,988,976
  6. Step 6: Final answer
    x = 2,531,202,546.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.