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Finding the Third Proportional to 1,527,980,548 and 3,273,785,432

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Solution

The third proportional to 1,527,980,548 and 3,273,785,432 is: 7,014,271,921.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527,980,548 : 3,273,785,432 = 3,273,785,432 : x
  2. Step 2: Convert to fraction form
    1,527,980,548/3,273,785,432 = 3,273,785,432/x
  3. Step 3: Cross multiply
    1,527,980,548x = 3,273,785,432 × 3,273,785,432
  4. Step 4: Simplify right side
    1,527,980,548x = 10,717,671,054,775,427,072
  5. Step 5: Solve for x
    x = 10,717,671,054,775,427,072/1,527,980,548
  6. Step 6: Final answer
    x = 7,014,271,921.72

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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.