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Finding the Third Proportional to 1,432,056,468 and 2,139,265,164

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Solution

The third proportional to 1,432,056,468 and 2,139,265,164 is: 3,195,722,755.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432,056,468 : 2,139,265,164 = 2,139,265,164 : x
  2. Step 2: Convert to fraction form
    1,432,056,468/2,139,265,164 = 2,139,265,164/x
  3. Step 3: Cross multiply
    1,432,056,468x = 2,139,265,164 × 2,139,265,164
  4. Step 4: Simplify right side
    1,432,056,468x = 4,576,455,441,903,946,752
  5. Step 5: Solve for x
    x = 4,576,455,441,903,946,752/1,432,056,468
  6. Step 6: Final answer
    x = 3,195,722,755.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.