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Finding the Third Proportional to 650,697,043 and 991,292,235

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Solution

The third proportional to 650,697,043 and 991,292,235 is: 1,510,165,607.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,697,043 : 991,292,235 = 991,292,235 : x
  2. Step 2: Convert to fraction form
    650,697,043/991,292,235 = 991,292,235/x
  3. Step 3: Cross multiply
    650,697,043x = 991,292,235 × 991,292,235
  4. Step 4: Simplify right side
    650,697,043x = 982,660,295,171,295,232
  5. Step 5: Solve for x
    x = 982,660,295,171,295,232/650,697,043
  6. Step 6: Final answer
    x = 1,510,165,607.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.