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Finding the Third Proportional to 10,918,527,540 and 23,576,874,816

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Solution

The third proportional to 10,918,527,540 and 23,576,874,816 is: 50,910,621,789.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,918,527,540 : 23,576,874,816 = 23,576,874,816 : x
  2. Step 2: Convert to fraction form
    10,918,527,540/23,576,874,816 = 23,576,874,816/x
  3. Step 3: Cross multiply
    10,918,527,540x = 23,576,874,816 × 23,576,874,816
  4. Step 4: Simplify right side
    10,918,527,540x = 555,869,026,089,335,062,528
  5. Step 5: Solve for x
    x = 555,869,026,089,335,062,528/10,918,527,540
  6. Step 6: Final answer
    x = 50,910,621,789.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.