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Finding the Third Proportional to 9,446,090 and 19,564,290

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Solution

The third proportional to 9,446,090 and 19,564,290 is: 40,520,622.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446,090 : 19,564,290 = 19,564,290 : x
  2. Step 2: Convert to fraction form
    9,446,090/19,564,290 = 19,564,290/x
  3. Step 3: Cross multiply
    9,446,090x = 19,564,290 × 19,564,290
  4. Step 4: Simplify right side
    9,446,090x = 382,761,443,204,100
  5. Step 5: Solve for x
    x = 382,761,443,204,100/9,446,090
  6. Step 6: Final answer
    x = 40,520,622.10

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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.