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Finding the Third Proportional to 7,445,725 and 16,209,902

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Solution

The third proportional to 7,445,725 and 16,209,902 is: 35,290,172.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,445,725 : 16,209,902 = 16,209,902 : x
  2. Step 2: Convert to fraction form
    7,445,725/16,209,902 = 16,209,902/x
  3. Step 3: Cross multiply
    7,445,725x = 16,209,902 × 16,209,902
  4. Step 4: Simplify right side
    7,445,725x = 262,760,922,849,604
  5. Step 5: Solve for x
    x = 262,760,922,849,604/7,445,725
  6. Step 6: Final answer
    x = 35,290,172.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.