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Finding the Third Proportional to 302,859,018,058 and 654,074,290,966

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Solution

The third proportional to 302,859,018,058 and 654,074,290,966 is: 1,412,581,936,129.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,859,018,058 : 654,074,290,966 = 654,074,290,966 : x
  2. Step 2: Convert to fraction form
    302,859,018,058/654,074,290,966 = 654,074,290,966/x
  3. Step 3: Cross multiply
    302,859,018,058x = 654,074,290,966 × 654,074,290,966
  4. Step 4: Simplify right side
    302,859,018,058x = 427,813,178,102,675,631,243,264
  5. Step 5: Solve for x
    x = 427,813,178,102,675,631,243,264/302,859,018,058
  6. Step 6: Final answer
    x = 1,412,581,936,129.59

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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.