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Finding the Third Proportional to 1,964,166,297 and 4,255,256,691

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Solution

The third proportional to 1,964,166,297 and 4,255,256,691 is: 9,218,776,197.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964,166,297 : 4,255,256,691 = 4,255,256,691 : x
  2. Step 2: Convert to fraction form
    1,964,166,297/4,255,256,691 = 4,255,256,691/x
  3. Step 3: Cross multiply
    1,964,166,297x = 4,255,256,691 × 4,255,256,691
  4. Step 4: Simplify right side
    1,964,166,297x = 18,107,209,506,300,268,544
  5. Step 5: Solve for x
    x = 18,107,209,506,300,268,544/1,964,166,297
  6. Step 6: Final answer
    x = 9,218,776,197.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.