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Finding the Third Proportional to 1,088,567,088 and 1,680,982,128

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Solution

The third proportional to 1,088,567,088 and 1,680,982,128 is: 2,595,798,592.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088,567,088 : 1,680,982,128 = 1,680,982,128 : x
  2. Step 2: Convert to fraction form
    1,088,567,088/1,680,982,128 = 1,680,982,128/x
  3. Step 3: Cross multiply
    1,088,567,088x = 1,680,982,128 × 1,680,982,128
  4. Step 4: Simplify right side
    1,088,567,088x = 2,825,700,914,655,408,128
  5. Step 5: Solve for x
    x = 2,825,700,914,655,408,128/1,088,567,088
  6. Step 6: Final answer
    x = 2,595,798,592.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.