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Finding the Third Proportional to 4,683,957.89 and 10,842,688.48

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Solution

The third proportional to 4,683,957.89 and 10,842,688.48 is: 25,099,263.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,683,957.89 : 10,842,688.48 = 10,842,688.48 : x
  2. Step 2: Convert to fraction form
    4,683,957.89/10,842,688.48 = 10,842,688.48/x
  3. Step 3: Cross multiply
    4,683,957.89x = 10,842,688.48 × 10,842,688.48
  4. Step 4: Simplify right side
    4,683,957.89x = 117,563,893,399,770.41
  5. Step 5: Solve for x
    x = 117,563,893,399,770.41/4,683,957.89
  6. Step 6: Final answer
    x = 25,099,263.52

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.