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Finding the Third Proportional to 13,634,577 and 30,295,837.13

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Solution

The third proportional to 13,634,577 and 30,295,837.13 is: 67,316,921.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,634,577 : 30,295,837.13 = 30,295,837.13 : x
  2. Step 2: Convert to fraction form
    13,634,577/30,295,837.13 = 30,295,837.13/x
  3. Step 3: Cross multiply
    13,634,577x = 30,295,837.13 × 30,295,837.13
  4. Step 4: Simplify right side
    13,634,577x = 917,837,747,104,528.25
  5. Step 5: Solve for x
    x = 917,837,747,104,528.25/13,634,577
  6. Step 6: Final answer
    x = 67,316,921.32

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.