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Finding the Third Proportional to 7,203,406,176 and 15,609,086,304

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Solution

The third proportional to 7,203,406,176 and 15,609,086,304 is: 33,823,384,284.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,203,406,176 : 15,609,086,304 = 15,609,086,304 : x
  2. Step 2: Convert to fraction form
    7,203,406,176/15,609,086,304 = 15,609,086,304/x
  3. Step 3: Cross multiply
    7,203,406,176x = 15,609,086,304 × 15,609,086,304
  4. Step 4: Simplify right side
    7,203,406,176x = 243,643,575,245,720,387,584
  5. Step 5: Solve for x
    x = 243,643,575,245,720,387,584/7,203,406,176
  6. Step 6: Final answer
    x = 33,823,384,284.16

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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.