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Finding the Third Proportional to 34,831,086.19 and 48,721,975.31

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Solution

The third proportional to 34,831,086.19 and 48,721,975.31 is: 68,152,651.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,831,086.19 : 48,721,975.31 = 48,721,975.31 : x
  2. Step 2: Convert to fraction form
    34,831,086.19/48,721,975.31 = 48,721,975.31/x
  3. Step 3: Cross multiply
    34,831,086.19x = 48,721,975.31 × 48,721,975.31
  4. Step 4: Simplify right side
    34,831,086.19x = 2,373,830,878,351,859.50
  5. Step 5: Solve for x
    x = 2,373,830,878,351,859.50/34,831,086.19
  6. Step 6: Final answer
    x = 68,152,651.50

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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.