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Finding the Third Proportional to 29,919,240 and 64,562,400

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Solution

The third proportional to 29,919,240 and 64,562,400 is: 139,318,495.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,919,240 : 64,562,400 = 64,562,400 : x
  2. Step 2: Convert to fraction form
    29,919,240/64,562,400 = 64,562,400/x
  3. Step 3: Cross multiply
    29,919,240x = 64,562,400 × 64,562,400
  4. Step 4: Simplify right side
    29,919,240x = 4,168,303,493,760,000
  5. Step 5: Solve for x
    x = 4,168,303,493,760,000/29,919,240
  6. Step 6: Final answer
    x = 139,318,495.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.