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Finding the Third Proportional to 6,997,970 and 10,460,523

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Solution

The third proportional to 6,997,970 and 10,460,523 is: 15,636,326.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997,970 : 10,460,523 = 10,460,523 : x
  2. Step 2: Convert to fraction form
    6,997,970/10,460,523 = 10,460,523/x
  3. Step 3: Cross multiply
    6,997,970x = 10,460,523 × 10,460,523
  4. Step 4: Simplify right side
    6,997,970x = 109,422,541,433,529
  5. Step 5: Solve for x
    x = 109,422,541,433,529/6,997,970
  6. Step 6: Final answer
    x = 15,636,326.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.