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Finding the Third Proportional to 180,017,004 and 392,742,375

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Solution

The third proportional to 180,017,004 and 392,742,375 is: 856,844,462.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,017,004 : 392,742,375 = 392,742,375 : x
  2. Step 2: Convert to fraction form
    180,017,004/392,742,375 = 392,742,375/x
  3. Step 3: Cross multiply
    180,017,004x = 392,742,375 × 392,742,375
  4. Step 4: Simplify right side
    180,017,004x = 154,246,573,120,640,640
  5. Step 5: Solve for x
    x = 154,246,573,120,640,640/180,017,004
  6. Step 6: Final answer
    x = 856,844,462.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.