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Finding the Third Proportional to 64,937,512 and 135,248,488

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Solution

The third proportional to 64,937,512 and 135,248,488 is: 281,688,548.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,937,512 : 135,248,488 = 135,248,488 : x
  2. Step 2: Convert to fraction form
    64,937,512/135,248,488 = 135,248,488/x
  3. Step 3: Cross multiply
    64,937,512x = 135,248,488 × 135,248,488
  4. Step 4: Simplify right side
    64,937,512x = 18,292,153,506,286,144
  5. Step 5: Solve for x
    x = 18,292,153,506,286,144/64,937,512
  6. Step 6: Final answer
    x = 281,688,548.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.