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Finding the Third Proportional to 64,745,532 and 135,477,288

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Solution

The third proportional to 64,745,532 and 135,477,288 is: 283,480,496.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,745,532 : 135,477,288 = 135,477,288 : x
  2. Step 2: Convert to fraction form
    64,745,532/135,477,288 = 135,477,288/x
  3. Step 3: Cross multiply
    64,745,532x = 135,477,288 × 135,477,288
  4. Step 4: Simplify right side
    64,745,532x = 18,354,095,563,834,944
  5. Step 5: Solve for x
    x = 18,354,095,563,834,944/64,745,532
  6. Step 6: Final answer
    x = 283,480,496.60

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.