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Finding the Third Proportional to 46,445,462 and 64,961,721

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Solution

The third proportional to 46,445,462 and 64,961,721 is: 90,859,795.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,445,462 : 64,961,721 = 64,961,721 : x
  2. Step 2: Convert to fraction form
    46,445,462/64,961,721 = 64,961,721/x
  3. Step 3: Cross multiply
    46,445,462x = 64,961,721 × 64,961,721
  4. Step 4: Simplify right side
    46,445,462x = 4,220,025,195,281,841
  5. Step 5: Solve for x
    x = 4,220,025,195,281,841/46,445,462
  6. Step 6: Final answer
    x = 90,859,795.85

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.