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Finding the Third Proportional to 10,678,702.50 and 22,114,441.13

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Solution

The third proportional to 10,678,702.50 and 22,114,441.13 is: 45,796,622.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678,702.50 : 22,114,441.13 = 22,114,441.13 : x
  2. Step 2: Convert to fraction form
    10,678,702.50/22,114,441.13 = 22,114,441.13/x
  3. Step 3: Cross multiply
    10,678,702.50x = 22,114,441.13 × 22,114,441.13
  4. Step 4: Simplify right side
    10,678,702.50x = 489,048,506,271,091.25
  5. Step 5: Solve for x
    x = 489,048,506,271,091.25/10,678,702.50
  6. Step 6: Final answer
    x = 45,796,622.41

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.