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Finding the Third Proportional to 3,386,357,785 and 7,291,667,666

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Solution

The third proportional to 3,386,357,785 and 7,291,667,666 is: 15,700,767,824.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,386,357,785 : 7,291,667,666 = 7,291,667,666 : x
  2. Step 2: Convert to fraction form
    3,386,357,785/7,291,667,666 = 7,291,667,666/x
  3. Step 3: Cross multiply
    3,386,357,785x = 7,291,667,666 × 7,291,667,666
  4. Step 4: Simplify right side
    3,386,357,785x = 53,168,417,351,389,888,512
  5. Step 5: Solve for x
    x = 53,168,417,351,389,888,512/3,386,357,785
  6. Step 6: Final answer
    x = 15,700,767,824.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.