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Finding the Third Proportional to 3,002,058,328,693 and 4,227,559,658,803

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Solution

The third proportional to 3,002,058,328,693 and 4,227,559,658,803 is: 5,953,335,582,430.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002,058,328,693 : 4,227,559,658,803 = 4,227,559,658,803 : x
  2. Step 2: Convert to fraction form
    3,002,058,328,693/4,227,559,658,803 = 4,227,559,658,803/x
  3. Step 3: Cross multiply
    3,002,058,328,693x = 4,227,559,658,803 × 4,227,559,658,803
  4. Step 4: Simplify right side
    3,002,058,328,693x = 17,872,260,668,738,536,915,075,072
  5. Step 5: Solve for x
    x = 17,872,260,668,738,536,915,075,072/3,002,058,328,693
  6. Step 6: Final answer
    x = 5,953,335,582,430.06

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.