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Finding the Third Proportional to 67,820,352 and 142,845,168

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Solution

The third proportional to 67,820,352 and 142,845,168 is: 300,864,584.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,820,352 : 142,845,168 = 142,845,168 : x
  2. Step 2: Convert to fraction form
    67,820,352/142,845,168 = 142,845,168/x
  3. Step 3: Cross multiply
    67,820,352x = 142,845,168 × 142,845,168
  4. Step 4: Simplify right side
    67,820,352x = 20,404,742,020,948,224
  5. Step 5: Solve for x
    x = 20,404,742,020,948,224/67,820,352
  6. Step 6: Final answer
    x = 300,864,584.44

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.