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Finding the Third Proportional to 180,017,031 and 392,742,432

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Solution

The third proportional to 180,017,031 and 392,742,432 is: 856,844,583.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,017,031 : 392,742,432 = 392,742,432 : x
  2. Step 2: Convert to fraction form
    180,017,031/392,742,432 = 392,742,432/x
  3. Step 3: Cross multiply
    180,017,031x = 392,742,432 × 392,742,432
  4. Step 4: Simplify right side
    180,017,031x = 154,246,617,893,274,624
  5. Step 5: Solve for x
    x = 154,246,617,893,274,624/180,017,031
  6. Step 6: Final answer
    x = 856,844,583.18

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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.