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Finding the Third Proportional to 64,374,012 and 137,952,396

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Solution

The third proportional to 64,374,012 and 137,952,396 is: 295,629,602.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,374,012 : 137,952,396 = 137,952,396 : x
  2. Step 2: Convert to fraction form
    64,374,012/137,952,396 = 137,952,396/x
  3. Step 3: Cross multiply
    64,374,012x = 137,952,396 × 137,952,396
  4. Step 4: Simplify right side
    64,374,012x = 19,030,863,562,140,816
  5. Step 5: Solve for x
    x = 19,030,863,562,140,816/64,374,012
  6. Step 6: Final answer
    x = 295,629,602.24

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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.