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Finding the Third Proportional to 2,215,703,840 and 4,785,180,006

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Solution

The third proportional to 2,215,703,840 and 4,785,180,006 is: 10,334,390,037.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215,703,840 : 4,785,180,006 = 4,785,180,006 : x
  2. Step 2: Convert to fraction form
    2,215,703,840/4,785,180,006 = 4,785,180,006/x
  3. Step 3: Cross multiply
    2,215,703,840x = 4,785,180,006 × 4,785,180,006
  4. Step 4: Simplify right side
    2,215,703,840x = 22,897,947,689,822,158,848
  5. Step 5: Solve for x
    x = 22,897,947,689,822,158,848/2,215,703,840
  6. Step 6: Final answer
    x = 10,334,390,037.35

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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.