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Finding the Third Proportional to 307,989,357,614 and 452,758,018,471

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Solution

The third proportional to 307,989,357,614 and 452,758,018,471 is: 665,574,372,042.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,989,357,614 : 452,758,018,471 = 452,758,018,471 : x
  2. Step 2: Convert to fraction form
    307,989,357,614/452,758,018,471 = 452,758,018,471/x
  3. Step 3: Cross multiply
    307,989,357,614x = 452,758,018,471 × 452,758,018,471
  4. Step 4: Simplify right side
    307,989,357,614x = 204,989,823,289,786,393,165,824
  5. Step 5: Solve for x
    x = 204,989,823,289,786,393,165,824/307,989,357,614
  6. Step 6: Final answer
    x = 665,574,372,042.75

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.