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Finding the Third Proportional to 7,806,702.38 and 16,916,580

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Solution

The third proportional to 7,806,702.38 and 16,916,580 is: 36,657,049.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806,702.38 : 16,916,580 = 16,916,580 : x
  2. Step 2: Convert to fraction form
    7,806,702.38/16,916,580 = 16,916,580/x
  3. Step 3: Cross multiply
    7,806,702.38x = 16,916,580 × 16,916,580
  4. Step 4: Simplify right side
    7,806,702.38x = 286,170,678,896,400
  5. Step 5: Solve for x
    x = 286,170,678,896,400/7,806,702.38
  6. Step 6: Final answer
    x = 36,657,049.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.