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Finding the Third Proportional to 29,821,990 and 65,226,284

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Solution

The third proportional to 29,821,990 and 65,226,284 is: 142,662,113.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,821,990 : 65,226,284 = 65,226,284 : x
  2. Step 2: Convert to fraction form
    29,821,990/65,226,284 = 65,226,284/x
  3. Step 3: Cross multiply
    29,821,990x = 65,226,284 × 65,226,284
  4. Step 4: Simplify right side
    29,821,990x = 4,254,468,124,448,656
  5. Step 5: Solve for x
    x = 4,254,468,124,448,656/29,821,990
  6. Step 6: Final answer
    x = 142,662,113.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.