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Finding the Third Proportional to 75,714,754,521 and 163,518,572,754

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Solution

The third proportional to 75,714,754,521 and 163,518,572,754 is: 353,145,484,056.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,714,754,521 : 163,518,572,754 = 163,518,572,754 : x
  2. Step 2: Convert to fraction form
    75,714,754,521/163,518,572,754 = 163,518,572,754/x
  3. Step 3: Cross multiply
    75,714,754,521x = 163,518,572,754 × 163,518,572,754
  4. Step 4: Simplify right side
    75,714,754,521x = 26,738,323,635,505,192,763,392
  5. Step 5: Solve for x
    x = 26,738,323,635,505,192,763,392/75,714,754,521
  6. Step 6: Final answer
    x = 353,145,484,056.07

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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.