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Finding the Third Proportional to 6,696,709 and 14,535,032

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Solution

The third proportional to 6,696,709 and 14,535,032 is: 31,547,907.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696,709 : 14,535,032 = 14,535,032 : x
  2. Step 2: Convert to fraction form
    6,696,709/14,535,032 = 14,535,032/x
  3. Step 3: Cross multiply
    6,696,709x = 14,535,032 × 14,535,032
  4. Step 4: Simplify right side
    6,696,709x = 211,267,155,241,024
  5. Step 5: Solve for x
    x = 211,267,155,241,024/6,696,709
  6. Step 6: Final answer
    x = 31,547,907.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.