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Finding the Third Proportional to 3,557,372,410 and 7,727,133,656

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Solution

The third proportional to 3,557,372,410 and 7,727,133,656 is: 16,784,465,514.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,557,372,410 : 7,727,133,656 = 7,727,133,656 : x
  2. Step 2: Convert to fraction form
    3,557,372,410/7,727,133,656 = 7,727,133,656/x
  3. Step 3: Cross multiply
    3,557,372,410x = 7,727,133,656 × 7,727,133,656
  4. Step 4: Simplify right side
    3,557,372,410x = 59,708,594,537,687,924,736
  5. Step 5: Solve for x
    x = 59,708,594,537,687,924,736/3,557,372,410
  6. Step 6: Final answer
    x = 16,784,465,514.45

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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.