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Finding the Third Proportional to 1,527,980,552 and 3,273,785,440

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Solution

The third proportional to 1,527,980,552 and 3,273,785,440 is: 7,014,271,937.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527,980,552 : 3,273,785,440 = 3,273,785,440 : x
  2. Step 2: Convert to fraction form
    1,527,980,552/3,273,785,440 = 3,273,785,440/x
  3. Step 3: Cross multiply
    1,527,980,552x = 3,273,785,440 × 3,273,785,440
  4. Step 4: Simplify right side
    1,527,980,552x = 10,717,671,107,155,992,576
  5. Step 5: Solve for x
    x = 10,717,671,107,155,992,576/1,527,980,552
  6. Step 6: Final answer
    x = 7,014,271,937.64

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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.