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Finding the Third Proportional to 180,017,028 and 392,742,420

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Solution

The third proportional to 180,017,028 and 392,742,420 is: 856,844,545.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,017,028 : 392,742,420 = 392,742,420 : x
  2. Step 2: Convert to fraction form
    180,017,028/392,742,420 = 392,742,420/x
  3. Step 3: Cross multiply
    180,017,028x = 392,742,420 × 392,742,420
  4. Step 4: Simplify right side
    180,017,028x = 154,246,608,467,456,384
  5. Step 5: Solve for x
    x = 154,246,608,467,456,384/180,017,028
  6. Step 6: Final answer
    x = 856,844,545.10

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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.