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Finding the Third Proportional to 2,215,703,844 and 4,785,180,018

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Solution

The third proportional to 2,215,703,844 and 4,785,180,018 is: 10,334,390,070.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215,703,844 : 4,785,180,018 = 4,785,180,018 : x
  2. Step 2: Convert to fraction form
    2,215,703,844/4,785,180,018 = 4,785,180,018/x
  3. Step 3: Cross multiply
    2,215,703,844x = 4,785,180,018 × 4,785,180,018
  4. Step 4: Simplify right side
    2,215,703,844x = 22,897,947,804,666,478,592
  5. Step 5: Solve for x
    x = 22,897,947,804,666,478,592/2,215,703,844
  6. Step 6: Final answer
    x = 10,334,390,070.53

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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.