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Finding the Third Proportional to 1,292,157,153 and 2,818,181,152

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Solution

The third proportional to 1,292,157,153 and 2,818,181,152 is: 6,146,423,433.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292,157,153 : 2,818,181,152 = 2,818,181,152 : x
  2. Step 2: Convert to fraction form
    1,292,157,153/2,818,181,152 = 2,818,181,152/x
  3. Step 3: Cross multiply
    1,292,157,153x = 2,818,181,152 × 2,818,181,152
  4. Step 4: Simplify right side
    1,292,157,153x = 7,942,145,005,488,047,104
  5. Step 5: Solve for x
    x = 7,942,145,005,488,047,104/1,292,157,153
  6. Step 6: Final answer
    x = 6,146,423,433.91

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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.