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Finding the Third Proportional to 14,984,312,974,022 and 23,842,987,619,907

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Solution

The third proportional to 14,984,312,974,022 and 23,842,987,619,907 is: 37,938,880,456,422.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,984,312,974,022 : 23,842,987,619,907 = 23,842,987,619,907 : x
  2. Step 2: Convert to fraction form
    14,984,312,974,022/23,842,987,619,907 = 23,842,987,619,907/x
  3. Step 3: Cross multiply
    14,984,312,974,022x = 23,842,987,619,907 × 23,842,987,619,907
  4. Step 4: Simplify right side
    14,984,312,974,022x = 568,488,058,643,038,442,570,645,504
  5. Step 5: Solve for x
    x = 568,488,058,643,038,442,570,645,504/14,984,312,974,022
  6. Step 6: Final answer
    x = 37,938,880,456,422.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.