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Finding the Third Proportional to 6,516,430 and 14,042,032

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Solution

The third proportional to 6,516,430 and 14,042,032 is: 30,258,694.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516,430 : 14,042,032 = 14,042,032 : x
  2. Step 2: Convert to fraction form
    6,516,430/14,042,032 = 14,042,032/x
  3. Step 3: Cross multiply
    6,516,430x = 14,042,032 × 14,042,032
  4. Step 4: Simplify right side
    6,516,430x = 197,178,662,689,024
  5. Step 5: Solve for x
    x = 197,178,662,689,024/6,516,430
  6. Step 6: Final answer
    x = 30,258,694.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.