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Finding the Third Proportional to 13,831,776 and 29,792,289

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Solution

The third proportional to 13,831,776 and 29,792,289 is: 64,169,668.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,831,776 : 29,792,289 = 29,792,289 : x
  2. Step 2: Convert to fraction form
    13,831,776/29,792,289 = 29,792,289/x
  3. Step 3: Cross multiply
    13,831,776x = 29,792,289 × 29,792,289
  4. Step 4: Simplify right side
    13,831,776x = 887,580,483,859,521
  5. Step 5: Solve for x
    x = 887,580,483,859,521/13,831,776
  6. Step 6: Final answer
    x = 64,169,668.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.