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Finding the Third Proportional to 2,009,504,186 and 2,714,164,854

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Solution

The third proportional to 2,009,504,186 and 2,714,164,854 is: 3,665,924,612.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009,504,186 : 2,714,164,854 = 2,714,164,854 : x
  2. Step 2: Convert to fraction form
    2,009,504,186/2,714,164,854 = 2,714,164,854/x
  3. Step 3: Cross multiply
    2,009,504,186x = 2,714,164,854 × 2,714,164,854
  4. Step 4: Simplify right side
    2,009,504,186x = 7,366,690,854,688,841,728
  5. Step 5: Solve for x
    x = 7,366,690,854,688,841,728/2,009,504,186
  6. Step 6: Final answer
    x = 3,665,924,612.65

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.