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Finding the Third Proportional to 5,013,304,795,442 and 7,525,263,417,483

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Solution

The third proportional to 5,013,304,795,442 and 7,525,263,417,483 is: 11,295,860,078,963.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,013,304,795,442 : 7,525,263,417,483 = 7,525,263,417,483 : x
  2. Step 2: Convert to fraction form
    5,013,304,795,442/7,525,263,417,483 = 7,525,263,417,483/x
  3. Step 3: Cross multiply
    5,013,304,795,442x = 7,525,263,417,483 × 7,525,263,417,483
  4. Step 4: Simplify right side
    5,013,304,795,442x = 56,629,589,502,507,920,861,954,048
  5. Step 5: Solve for x
    x = 56,629,589,502,507,920,861,954,048/5,013,304,795,442
  6. Step 6: Final answer
    x = 11,295,860,078,963.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.