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Finding the Third Proportional to 47,162,547 and 101,898,135

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Solution

The third proportional to 47,162,547 and 101,898,135 is: 220,158,379.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,162,547 : 101,898,135 = 101,898,135 : x
  2. Step 2: Convert to fraction form
    47,162,547/101,898,135 = 101,898,135/x
  3. Step 3: Cross multiply
    47,162,547x = 101,898,135 × 101,898,135
  4. Step 4: Simplify right side
    47,162,547x = 10,383,229,916,478,224
  5. Step 5: Solve for x
    x = 10,383,229,916,478,224/47,162,547
  6. Step 6: Final answer
    x = 220,158,379.41

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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.