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Finding the Third Proportional to 1,527,980,551 and 3,273,785,438

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Solution

The third proportional to 1,527,980,551 and 3,273,785,438 is: 7,014,271,933.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527,980,551 : 3,273,785,438 = 3,273,785,438 : x
  2. Step 2: Convert to fraction form
    1,527,980,551/3,273,785,438 = 3,273,785,438/x
  3. Step 3: Cross multiply
    1,527,980,551x = 3,273,785,438 × 3,273,785,438
  4. Step 4: Simplify right side
    1,527,980,551x = 10,717,671,094,060,851,200
  5. Step 5: Solve for x
    x = 10,717,671,094,060,851,200/1,527,980,551
  6. Step 6: Final answer
    x = 7,014,271,933.66

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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.