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Finding the Third Proportional to 65,878,414 and 143,097,425

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Solution

The third proportional to 65,878,414 and 143,097,425 is: 310,828,263.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,878,414 : 143,097,425 = 143,097,425 : x
  2. Step 2: Convert to fraction form
    65,878,414/143,097,425 = 143,097,425/x
  3. Step 3: Cross multiply
    65,878,414x = 143,097,425 × 143,097,425
  4. Step 4: Simplify right side
    65,878,414x = 20,476,873,041,630,624
  5. Step 5: Solve for x
    x = 20,476,873,041,630,624/65,878,414
  6. Step 6: Final answer
    x = 310,828,263.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.