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Finding the Third Proportional to 301,545,473.63 and 653,162,927.34

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Solution

The third proportional to 301,545,473.63 and 653,162,927.34 is: 1,414,784,325.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,545,473.63 : 653,162,927.34 = 653,162,927.34 : x
  2. Step 2: Convert to fraction form
    301,545,473.63/653,162,927.34 = 653,162,927.34/x
  3. Step 3: Cross multiply
    301,545,473.63x = 653,162,927.34 × 653,162,927.34
  4. Step 4: Simplify right side
    301,545,473.63x = 426,621,809,656,256,832
  5. Step 5: Solve for x
    x = 426,621,809,656,256,832/301,545,473.63
  6. Step 6: Final answer
    x = 1,414,784,325.98

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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.