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Finding the Third Proportional to 3,270,314,970 and 7,173,769,986

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Solution

The third proportional to 3,270,314,970 and 7,173,769,986 is: 15,736,397,345.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270,314,970 : 7,173,769,986 = 7,173,769,986 : x
  2. Step 2: Convert to fraction form
    3,270,314,970/7,173,769,986 = 7,173,769,986/x
  3. Step 3: Cross multiply
    3,270,314,970x = 7,173,769,986 × 7,173,769,986
  4. Step 4: Simplify right side
    3,270,314,970x = 51,462,975,812,034,437,120
  5. Step 5: Solve for x
    x = 51,462,975,812,034,437,120/3,270,314,970
  6. Step 6: Final answer
    x = 15,736,397,345.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.