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Finding the Third Proportional to 942,584,169 and 1,982,848,488

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Solution

The third proportional to 942,584,169 and 1,982,848,488 is: 4,171,179,885.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    942,584,169 : 1,982,848,488 = 1,982,848,488 : x
  2. Step 2: Convert to fraction form
    942,584,169/1,982,848,488 = 1,982,848,488/x
  3. Step 3: Cross multiply
    942,584,169x = 1,982,848,488 × 1,982,848,488
  4. Step 4: Simplify right side
    942,584,169x = 3,931,688,126,363,886,080
  5. Step 5: Solve for x
    x = 3,931,688,126,363,886,080/942,584,169
  6. Step 6: Final answer
    x = 4,171,179,885.75

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.