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Finding the Third Proportional to 4,602,427 and 10,012,886

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Solution

The third proportional to 4,602,427 and 10,012,886 is: 21,783,699.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602,427 : 10,012,886 = 10,012,886 : x
  2. Step 2: Convert to fraction form
    4,602,427/10,012,886 = 10,012,886/x
  3. Step 3: Cross multiply
    4,602,427x = 10,012,886 × 10,012,886
  4. Step 4: Simplify right side
    4,602,427x = 100,257,886,048,996
  5. Step 5: Solve for x
    x = 100,257,886,048,996/4,602,427
  6. Step 6: Final answer
    x = 21,783,699.35

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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.