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Finding the Third Proportional to 64,477,017 and 141,620,713.88

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Solution

The third proportional to 64,477,017 and 141,620,713.88 is: 311,063,190.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,477,017 : 141,620,713.88 = 141,620,713.88 : x
  2. Step 2: Convert to fraction form
    64,477,017/141,620,713.88 = 141,620,713.88/x
  3. Step 3: Cross multiply
    64,477,017x = 141,620,713.88 × 141,620,713.88
  4. Step 4: Simplify right side
    64,477,017x = 20,056,426,598,464,616
  5. Step 5: Solve for x
    x = 20,056,426,598,464,616/64,477,017
  6. Step 6: Final answer
    x = 311,063,190.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.