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Finding the Third Proportional to 1,059,023,043 and 2,308,729,818

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Solution

The third proportional to 1,059,023,043 and 2,308,729,818 is: 5,033,160,900.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059,023,043 : 2,308,729,818 = 2,308,729,818 : x
  2. Step 2: Convert to fraction form
    1,059,023,043/2,308,729,818 = 2,308,729,818/x
  3. Step 3: Cross multiply
    1,059,023,043x = 2,308,729,818 × 2,308,729,818
  4. Step 4: Simplify right side
    1,059,023,043x = 5,330,233,372,522,312,704
  5. Step 5: Solve for x
    x = 5,330,233,372,522,312,704/1,059,023,043
  6. Step 6: Final answer
    x = 5,033,160,900.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.