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Finding the Third Proportional to 75,714,754,515.50 and 163,518,572,743

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Solution

The third proportional to 75,714,754,515.50 and 163,518,572,743 is: 353,145,484,034.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,714,754,515.50 : 163,518,572,743 = 163,518,572,743 : x
  2. Step 2: Convert to fraction form
    75,714,754,515.50/163,518,572,743 = 163,518,572,743/x
  3. Step 3: Cross multiply
    75,714,754,515.50x = 163,518,572,743 × 163,518,572,743
  4. Step 4: Simplify right side
    75,714,754,515.50x = 26,738,323,631,907,784,359,936
  5. Step 5: Solve for x
    x = 26,738,323,631,907,784,359,936/75,714,754,515.50
  6. Step 6: Final answer
    x = 353,145,484,034.21

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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.