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Finding the Third Proportional to 6,875,590 and 14,570,809

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Solution

The third proportional to 6,875,590 and 14,570,809 is: 30,878,582.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875,590 : 14,570,809 = 14,570,809 : x
  2. Step 2: Convert to fraction form
    6,875,590/14,570,809 = 14,570,809/x
  3. Step 3: Cross multiply
    6,875,590x = 14,570,809 × 14,570,809
  4. Step 4: Simplify right side
    6,875,590x = 212,308,474,914,481
  5. Step 5: Solve for x
    x = 212,308,474,914,481/6,875,590
  6. Step 6: Final answer
    x = 30,878,582.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.