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Finding the Third Proportional to 46,445,456 and 64,961,712

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Solution

The third proportional to 46,445,456 and 64,961,712 is: 90,859,782.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,445,456 : 64,961,712 = 64,961,712 : x
  2. Step 2: Convert to fraction form
    46,445,456/64,961,712 = 64,961,712/x
  3. Step 3: Cross multiply
    46,445,456x = 64,961,712 × 64,961,712
  4. Step 4: Simplify right side
    46,445,456x = 4,220,024,025,970,944
  5. Step 5: Solve for x
    x = 4,220,024,025,970,944/46,445,456
  6. Step 6: Final answer
    x = 90,859,782.41

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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.