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Finding the Third Proportional to 23,032,816 and 49,209,992

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Solution

The third proportional to 23,032,816 and 49,209,992 is: 105,137,961.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,032,816 : 49,209,992 = 49,209,992 : x
  2. Step 2: Convert to fraction form
    23,032,816/49,209,992 = 49,209,992/x
  3. Step 3: Cross multiply
    23,032,816x = 49,209,992 × 49,209,992
  4. Step 4: Simplify right side
    23,032,816x = 2,421,623,312,640,064
  5. Step 5: Solve for x
    x = 2,421,623,312,640,064/23,032,816
  6. Step 6: Final answer
    x = 105,137,961.10

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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.