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Finding the Third Proportional to 5,152,567.50 and 6,997,702.50

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Solution

The third proportional to 5,152,567.50 and 6,997,702.50 is: 9,503,580.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152,567.50 : 6,997,702.50 = 6,997,702.50 : x
  2. Step 2: Convert to fraction form
    5,152,567.50/6,997,702.50 = 6,997,702.50/x
  3. Step 3: Cross multiply
    5,152,567.50x = 6,997,702.50 × 6,997,702.50
  4. Step 4: Simplify right side
    5,152,567.50x = 48,967,840,278,506.25
  5. Step 5: Solve for x
    x = 48,967,840,278,506.25/5,152,567.50
  6. Step 6: Final answer
    x = 9,503,580.55

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.