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Finding the Third Proportional to 61,317,712 and 133,521,824

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Solution

The third proportional to 61,317,712 and 133,521,824 is: 290,749,228.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,317,712 : 133,521,824 = 133,521,824 : x
  2. Step 2: Convert to fraction form
    61,317,712/133,521,824 = 133,521,824/x
  3. Step 3: Cross multiply
    61,317,712x = 133,521,824 × 133,521,824
  4. Step 4: Simplify right side
    61,317,712x = 17,828,077,484,286,976
  5. Step 5: Solve for x
    x = 17,828,077,484,286,976/61,317,712
  6. Step 6: Final answer
    x = 290,749,228.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.