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Finding the Third Proportional to 1,527,980,550 and 3,273,785,436

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Solution

The third proportional to 1,527,980,550 and 3,273,785,436 is: 7,014,271,929.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527,980,550 : 3,273,785,436 = 3,273,785,436 : x
  2. Step 2: Convert to fraction form
    1,527,980,550/3,273,785,436 = 3,273,785,436/x
  3. Step 3: Cross multiply
    1,527,980,550x = 3,273,785,436 × 3,273,785,436
  4. Step 4: Simplify right side
    1,527,980,550x = 10,717,671,080,965,709,824
  5. Step 5: Solve for x
    x = 10,717,671,080,965,709,824/1,527,980,550
  6. Step 6: Final answer
    x = 7,014,271,929.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.