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Finding the Third Proportional to 10,815,030 and 23,165,280

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Solution

The third proportional to 10,815,030 and 23,165,280 is: 49,618,928.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,815,030 : 23,165,280 = 23,165,280 : x
  2. Step 2: Convert to fraction form
    10,815,030/23,165,280 = 23,165,280/x
  3. Step 3: Cross multiply
    10,815,030x = 23,165,280 × 23,165,280
  4. Step 4: Simplify right side
    10,815,030x = 536,630,197,478,400
  5. Step 5: Solve for x
    x = 536,630,197,478,400/10,815,030
  6. Step 6: Final answer
    x = 49,618,928.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.