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Finding the Third Proportional to 9,578,410 and 20,485,076

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Solution

The third proportional to 9,578,410 and 20,485,076 is: 43,810,855.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578,410 : 20,485,076 = 20,485,076 : x
  2. Step 2: Convert to fraction form
    9,578,410/20,485,076 = 20,485,076/x
  3. Step 3: Cross multiply
    9,578,410x = 20,485,076 × 20,485,076
  4. Step 4: Simplify right side
    9,578,410x = 419,638,338,725,776
  5. Step 5: Solve for x
    x = 419,638,338,725,776/9,578,410
  6. Step 6: Final answer
    x = 43,810,855.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.