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Finding the Third Proportional to 1,816,537,748 and 3,976,976,656

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Solution

The third proportional to 1,816,537,748 and 3,976,976,656 is: 8,706,861,907.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816,537,748 : 3,976,976,656 = 3,976,976,656 : x
  2. Step 2: Convert to fraction form
    1,816,537,748/3,976,976,656 = 3,976,976,656/x
  3. Step 3: Cross multiply
    1,816,537,748x = 3,976,976,656 × 3,976,976,656
  4. Step 4: Simplify right side
    1,816,537,748x = 15,816,343,322,368,942,080
  5. Step 5: Solve for x
    x = 15,816,343,322,368,942,080/1,816,537,748
  6. Step 6: Final answer
    x = 8,706,861,907.92

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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.