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Finding the Third Proportional to 75,714,754,514.50 and 163,518,572,741

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Solution

The third proportional to 75,714,754,514.50 and 163,518,572,741 is: 353,145,484,030.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,714,754,514.50 : 163,518,572,741 = 163,518,572,741 : x
  2. Step 2: Convert to fraction form
    75,714,754,514.50/163,518,572,741 = 163,518,572,741/x
  3. Step 3: Cross multiply
    75,714,754,514.50x = 163,518,572,741 × 163,518,572,741
  4. Step 4: Simplify right side
    75,714,754,514.50x = 26,738,323,631,253,707,816,960
  5. Step 5: Solve for x
    x = 26,738,323,631,253,707,816,960/75,714,754,514.50
  6. Step 6: Final answer
    x = 353,145,484,030.24

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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.