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Finding the Third Proportional to 29,570,875 and 64,716,311

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Solution

The third proportional to 29,570,875 and 64,716,311 is: 141,632,633.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,570,875 : 64,716,311 = 64,716,311 : x
  2. Step 2: Convert to fraction form
    29,570,875/64,716,311 = 64,716,311/x
  3. Step 3: Cross multiply
    29,570,875x = 64,716,311 × 64,716,311
  4. Step 4: Simplify right side
    29,570,875x = 4,188,200,909,448,721
  5. Step 5: Solve for x
    x = 4,188,200,909,448,721/29,570,875
  6. Step 6: Final answer
    x = 141,632,633.78

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