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Finding the Third Proportional to 244,921,165,780 and 383,368,518,058

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Solution

The third proportional to 244,921,165,780 and 383,368,518,058 is: 600,076,437,534.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,921,165,780 : 383,368,518,058 = 383,368,518,058 : x
  2. Step 2: Convert to fraction form
    244,921,165,780/383,368,518,058 = 383,368,518,058/x
  3. Step 3: Cross multiply
    244,921,165,780x = 383,368,518,058 × 383,368,518,058
  4. Step 4: Simplify right side
    244,921,165,780x = 146,971,420,637,987,071,852,544
  5. Step 5: Solve for x
    x = 146,971,420,637,987,071,852,544/244,921,165,780
  6. Step 6: Final answer
    x = 600,076,437,534.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.