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Finding the Third Proportional to 207,244,784 and 446,772,968

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Solution

The third proportional to 207,244,784 and 446,772,968 is: 963,141,658.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,244,784 : 446,772,968 = 446,772,968 : x
  2. Step 2: Convert to fraction form
    207,244,784/446,772,968 = 446,772,968/x
  3. Step 3: Cross multiply
    207,244,784x = 446,772,968 × 446,772,968
  4. Step 4: Simplify right side
    207,244,784x = 199,606,084,935,529,024
  5. Step 5: Solve for x
    x = 199,606,084,935,529,024/207,244,784
  6. Step 6: Final answer
    x = 963,141,658.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.