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Finding the Third Proportional to 180,017,033 and 392,742,436

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Solution

The third proportional to 180,017,033 and 392,742,436 is: 856,844,591.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,017,033 : 392,742,436 = 392,742,436 : x
  2. Step 2: Convert to fraction form
    180,017,033/392,742,436 = 392,742,436/x
  3. Step 3: Cross multiply
    180,017,033x = 392,742,436 × 392,742,436
  4. Step 4: Simplify right side
    180,017,033x = 154,246,621,035,214,080
  5. Step 5: Solve for x
    x = 154,246,621,035,214,080/180,017,033
  6. Step 6: Final answer
    x = 856,844,591.12

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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.