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Finding the Third Proportional to 64,607,661 and 141,768,565

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Solution

The third proportional to 64,607,661 and 141,768,565 is: 311,082,706.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,607,661 : 141,768,565 = 141,768,565 : x
  2. Step 2: Convert to fraction form
    64,607,661/141,768,565 = 141,768,565/x
  3. Step 3: Cross multiply
    64,607,661x = 141,768,565 × 141,768,565
  4. Step 4: Simplify right side
    64,607,661x = 20,098,326,022,159,224
  5. Step 5: Solve for x
    x = 20,098,326,022,159,224/64,607,661
  6. Step 6: Final answer
    x = 311,082,706.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.