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Finding the Third Proportional to 36,427,592.50 and 59,476,683.50

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Solution

The third proportional to 36,427,592.50 and 59,476,683.50 is: 97,109,790.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,427,592.50 : 59,476,683.50 = 59,476,683.50 : x
  2. Step 2: Convert to fraction form
    36,427,592.50/59,476,683.50 = 59,476,683.50/x
  3. Step 3: Cross multiply
    36,427,592.50x = 59,476,683.50 × 59,476,683.50
  4. Step 4: Simplify right side
    36,427,592.50x = 3,537,475,880,159,172
  5. Step 5: Solve for x
    x = 3,537,475,880,159,172/36,427,592.50
  6. Step 6: Final answer
    x = 97,109,790.61

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.