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Finding the Third Proportional to 180,017,008 and 392,742,383

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Solution

The third proportional to 180,017,008 and 392,742,383 is: 856,844,478.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,017,008 : 392,742,383 = 392,742,383 : x
  2. Step 2: Convert to fraction form
    180,017,008/392,742,383 = 392,742,383/x
  3. Step 3: Cross multiply
    180,017,008x = 392,742,383 × 392,742,383
  4. Step 4: Simplify right side
    180,017,008x = 154,246,579,404,518,688
  5. Step 5: Solve for x
    x = 154,246,579,404,518,688/180,017,008
  6. Step 6: Final answer
    x = 856,844,478.85

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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.