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Finding the Third Proportional to 14,984,312,974,020 and 23,842,987,619,904

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Solution

The third proportional to 14,984,312,974,020 and 23,842,987,619,904 is: 37,938,880,456,417.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,984,312,974,020 : 23,842,987,619,904 = 23,842,987,619,904 : x
  2. Step 2: Convert to fraction form
    14,984,312,974,020/23,842,987,619,904 = 23,842,987,619,904/x
  3. Step 3: Cross multiply
    14,984,312,974,020x = 23,842,987,619,904 × 23,842,987,619,904
  4. Step 4: Simplify right side
    14,984,312,974,020x = 568,488,058,642,895,437,339,557,888
  5. Step 5: Solve for x
    x = 568,488,058,642,895,437,339,557,888/14,984,312,974,020
  6. Step 6: Final answer
    x = 37,938,880,456,417.83

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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.