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Finding the Third Proportional to 10,000,290 and 14,159,595

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Solution

The third proportional to 10,000,290 and 14,159,595 is: 20,048,831.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000,290 : 14,159,595 = 14,159,595 : x
  2. Step 2: Convert to fraction form
    10,000,290/14,159,595 = 14,159,595/x
  3. Step 3: Cross multiply
    10,000,290x = 14,159,595 × 14,159,595
  4. Step 4: Simplify right side
    10,000,290x = 200,494,130,564,025
  5. Step 5: Solve for x
    x = 200,494,130,564,025/10,000,290
  6. Step 6: Final answer
    x = 20,048,831.64

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.