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Finding the Third Proportional to 37,890,836 and 79,742,680

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Solution

The third proportional to 37,890,836 and 79,742,680 is: 167,821,449.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,890,836 : 79,742,680 = 79,742,680 : x
  2. Step 2: Convert to fraction form
    37,890,836/79,742,680 = 79,742,680/x
  3. Step 3: Cross multiply
    37,890,836x = 79,742,680 × 79,742,680
  4. Step 4: Simplify right side
    37,890,836x = 6,358,895,013,582,400
  5. Step 5: Solve for x
    x = 6,358,895,013,582,400/37,890,836
  6. Step 6: Final answer
    x = 167,821,449.32

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.