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Finding the Third Proportional to 9,461,580 and 14,825,346

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Solution

The third proportional to 9,461,580 and 14,825,346 is: 23,229,828.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461,580 : 14,825,346 = 14,825,346 : x
  2. Step 2: Convert to fraction form
    9,461,580/14,825,346 = 14,825,346/x
  3. Step 3: Cross multiply
    9,461,580x = 14,825,346 × 14,825,346
  4. Step 4: Simplify right side
    9,461,580x = 219,790,884,019,716
  5. Step 5: Solve for x
    x = 219,790,884,019,716/9,461,580
  6. Step 6: Final answer
    x = 23,229,828.85

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.