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Finding the Third Proportional to 10,027,140 and 20,585,160

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Solution

The third proportional to 10,027,140 and 20,585,160 is: 42,260,187.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,027,140 : 20,585,160 = 20,585,160 : x
  2. Step 2: Convert to fraction form
    10,027,140/20,585,160 = 20,585,160/x
  3. Step 3: Cross multiply
    10,027,140x = 20,585,160 × 20,585,160
  4. Step 4: Simplify right side
    10,027,140x = 423,748,812,225,600
  5. Step 5: Solve for x
    x = 423,748,812,225,600/10,027,140
  6. Step 6: Final answer
    x = 42,260,187.07

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.