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Finding the Third Proportional to 303,246,313 and 433,346,005

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Solution

The third proportional to 303,246,313 and 433,346,005 is: 619,261,478.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,246,313 : 433,346,005 = 433,346,005 : x
  2. Step 2: Convert to fraction form
    303,246,313/433,346,005 = 433,346,005/x
  3. Step 3: Cross multiply
    303,246,313x = 433,346,005 × 433,346,005
  4. Step 4: Simplify right side
    303,246,313x = 187,788,760,049,460,032
  5. Step 5: Solve for x
    x = 187,788,760,049,460,032/303,246,313
  6. Step 6: Final answer
    x = 619,261,478.21

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.