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Finding the Third Proportional to 3,097,699 and 6,710,140

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Solution

The third proportional to 3,097,699 and 6,710,140 is: 14,535,298.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097,699 : 6,710,140 = 6,710,140 : x
  2. Step 2: Convert to fraction form
    3,097,699/6,710,140 = 6,710,140/x
  3. Step 3: Cross multiply
    3,097,699x = 6,710,140 × 6,710,140
  4. Step 4: Simplify right side
    3,097,699x = 45,025,978,819,600
  5. Step 5: Solve for x
    x = 45,025,978,819,600/3,097,699
  6. Step 6: Final answer
    x = 14,535,298.24

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