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Finding the Third Proportional to 180,017,032 and 392,742,428

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Solution

The third proportional to 180,017,032 and 392,742,428 is: 856,844,560.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,017,032 : 392,742,428 = 392,742,428 : x
  2. Step 2: Convert to fraction form
    180,017,032/392,742,428 = 392,742,428/x
  3. Step 3: Cross multiply
    180,017,032x = 392,742,428 × 392,742,428
  4. Step 4: Simplify right side
    180,017,032x = 154,246,614,751,335,168
  5. Step 5: Solve for x
    x = 154,246,614,751,335,168/180,017,032
  6. Step 6: Final answer
    x = 856,844,560.97

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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.