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Finding the Third Proportional to 6,461,346 and 10,003,586

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Solution

The third proportional to 6,461,346 and 10,003,586 is: 15,487,753.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461,346 : 10,003,586 = 10,003,586 : x
  2. Step 2: Convert to fraction form
    6,461,346/10,003,586 = 10,003,586/x
  3. Step 3: Cross multiply
    6,461,346x = 10,003,586 × 10,003,586
  4. Step 4: Simplify right side
    6,461,346x = 100,071,732,859,396
  5. Step 5: Solve for x
    x = 100,071,732,859,396/6,461,346
  6. Step 6: Final answer
    x = 15,487,753.30

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.