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Finding the Third Proportional to 159,533,634,645 and 345,541,061,754

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Solution

The third proportional to 159,533,634,645 and 345,541,061,754 is: 748,422,899,182.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,533,634,645 : 345,541,061,754 = 345,541,061,754 : x
  2. Step 2: Convert to fraction form
    159,533,634,645/345,541,061,754 = 345,541,061,754/x
  3. Step 3: Cross multiply
    159,533,634,645x = 345,541,061,754 × 345,541,061,754
  4. Step 4: Simplify right side
    159,533,634,645x = 119,398,625,358,081,649,803,264
  5. Step 5: Solve for x
    x = 119,398,625,358,081,649,803,264/159,533,634,645
  6. Step 6: Final answer
    x = 748,422,899,182.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.