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Finding the Third Proportional to 15,242,996,196 and 33,018,906,632

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Solution

The third proportional to 15,242,996,196 and 33,018,906,632 is: 71,524,533,704.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,242,996,196 : 33,018,906,632 = 33,018,906,632 : x
  2. Step 2: Convert to fraction form
    15,242,996,196/33,018,906,632 = 33,018,906,632/x
  3. Step 3: Cross multiply
    15,242,996,196x = 33,018,906,632 × 33,018,906,632
  4. Step 4: Simplify right side
    15,242,996,196x = 1,090,248,195,172,733,550,592
  5. Step 5: Solve for x
    x = 1,090,248,195,172,733,550,592/15,242,996,196
  6. Step 6: Final answer
    x = 71,524,533,704.13

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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.