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Finding the Third Proportional to 29,845,994.06 and 64,946,683.41

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Solution

The third proportional to 29,845,994.06 and 64,946,683.41 is: 141,327,900.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,845,994.06 : 64,946,683.41 = 64,946,683.41 : x
  2. Step 2: Convert to fraction form
    29,845,994.06/64,946,683.41 = 64,946,683.41/x
  3. Step 3: Cross multiply
    29,845,994.06x = 64,946,683.41 × 64,946,683.41
  4. Step 4: Simplify right side
    29,845,994.06x = 4,218,071,685,471,669
  5. Step 5: Solve for x
    x = 4,218,071,685,471,669/29,845,994.06
  6. Step 6: Final answer
    x = 141,327,900.71

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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.