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Finding the Third Proportional to 29,891,991 and 64,368,498

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Solution

The third proportional to 29,891,991 and 64,368,498 is: 138,609,152.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,891,991 : 64,368,498 = 64,368,498 : x
  2. Step 2: Convert to fraction form
    29,891,991/64,368,498 = 64,368,498/x
  3. Step 3: Cross multiply
    29,891,991x = 64,368,498 × 64,368,498
  4. Step 4: Simplify right side
    29,891,991x = 4,143,303,534,776,004
  5. Step 5: Solve for x
    x = 4,143,303,534,776,004/29,891,991
  6. Step 6: Final answer
    x = 138,609,152.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.