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Finding the Third Proportional to 17,272,500,016.50 and 26,537,287,284

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Solution

The third proportional to 17,272,500,016.50 and 26,537,287,284 is: 40,771,608,957.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,272,500,016.50 : 26,537,287,284 = 26,537,287,284 : x
  2. Step 2: Convert to fraction form
    17,272,500,016.50/26,537,287,284 = 26,537,287,284/x
  3. Step 3: Cross multiply
    17,272,500,016.50x = 26,537,287,284 × 26,537,287,284
  4. Step 4: Simplify right side
    17,272,500,016.50x = 704,227,616,393,548,136,448
  5. Step 5: Solve for x
    x = 704,227,616,393,548,136,448/17,272,500,016.50
  6. Step 6: Final answer
    x = 40,771,608,957.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.