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Finding the Third Proportional to 4,765,545 and 10,440,804.38

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Solution

The third proportional to 4,765,545 and 10,440,804.38 is: 22,874,696.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765,545 : 10,440,804.38 = 10,440,804.38 : x
  2. Step 2: Convert to fraction form
    4,765,545/10,440,804.38 = 10,440,804.38/x
  3. Step 3: Cross multiply
    4,765,545x = 10,440,804.38 × 10,440,804.38
  4. Step 4: Simplify right side
    4,765,545x = 109,010,395,997,019.14
  5. Step 5: Solve for x
    x = 109,010,395,997,019.14/4,765,545
  6. Step 6: Final answer
    x = 22,874,696.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.