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Finding the Third Proportional to 22,270,713 and 46,578,024

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Solution

The third proportional to 22,270,713 and 46,578,024 is: 97,415,485.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,270,713 : 46,578,024 = 46,578,024 : x
  2. Step 2: Convert to fraction form
    22,270,713/46,578,024 = 46,578,024/x
  3. Step 3: Cross multiply
    22,270,713x = 46,578,024 × 46,578,024
  4. Step 4: Simplify right side
    22,270,713x = 2,169,512,319,744,576
  5. Step 5: Solve for x
    x = 2,169,512,319,744,576/22,270,713
  6. Step 6: Final answer
    x = 97,415,485.52

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.