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Finding the Third Proportional to 180,017,030 and 392,742,424

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Solution

The third proportional to 180,017,030 and 392,742,424 is: 856,844,553.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,017,030 : 392,742,424 = 392,742,424 : x
  2. Step 2: Convert to fraction form
    180,017,030/392,742,424 = 392,742,424/x
  3. Step 3: Cross multiply
    180,017,030x = 392,742,424 × 392,742,424
  4. Step 4: Simplify right side
    180,017,030x = 154,246,611,609,395,776
  5. Step 5: Solve for x
    x = 154,246,611,609,395,776/180,017,030
  6. Step 6: Final answer
    x = 856,844,553.04

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Why These Related Problems?

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