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Finding the Third Proportional to 42,533,127 and 93,301,767

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Solution

The third proportional to 42,533,127 and 93,301,767 is: 204,669,168.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,533,127 : 93,301,767 = 93,301,767 : x
  2. Step 2: Convert to fraction form
    42,533,127/93,301,767 = 93,301,767/x
  3. Step 3: Cross multiply
    42,533,127x = 93,301,767 × 93,301,767
  4. Step 4: Simplify right side
    42,533,127x = 8,705,219,725,322,289
  5. Step 5: Solve for x
    x = 8,705,219,725,322,289/42,533,127
  6. Step 6: Final answer
    x = 204,669,168.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.