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Finding the Third Proportional to 7,101,029,022 and 15,438,065,702

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Solution

The third proportional to 7,101,029,022 and 15,438,065,702 is: 33,563,286,656.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101,029,022 : 15,438,065,702 = 15,438,065,702 : x
  2. Step 2: Convert to fraction form
    7,101,029,022/15,438,065,702 = 15,438,065,702/x
  3. Step 3: Cross multiply
    7,101,029,022x = 15,438,065,702 × 15,438,065,702
  4. Step 4: Simplify right side
    7,101,029,022x = 238,333,872,619,268,767,744
  5. Step 5: Solve for x
    x = 238,333,872,619,268,767,744/7,101,029,022
  6. Step 6: Final answer
    x = 33,563,286,656.18

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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.