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Finding the Third Proportional to 46,470,908 and 101,001,640

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Solution

The third proportional to 46,470,908 and 101,001,640 is: 219,520,808.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,470,908 : 101,001,640 = 101,001,640 : x
  2. Step 2: Convert to fraction form
    46,470,908/101,001,640 = 101,001,640/x
  3. Step 3: Cross multiply
    46,470,908x = 101,001,640 × 101,001,640
  4. Step 4: Simplify right side
    46,470,908x = 10,201,331,282,689,600
  5. Step 5: Solve for x
    x = 10,201,331,282,689,600/46,470,908
  6. Step 6: Final answer
    x = 219,520,808.22

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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.