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Finding the Third Proportional to 10,259,076 and 16,009,716

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Solution

The third proportional to 10,259,076 and 16,009,716 is: 24,983,829.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,259,076 : 16,009,716 = 16,009,716 : x
  2. Step 2: Convert to fraction form
    10,259,076/16,009,716 = 16,009,716/x
  3. Step 3: Cross multiply
    10,259,076x = 16,009,716 × 16,009,716
  4. Step 4: Simplify right side
    10,259,076x = 256,311,006,400,656
  5. Step 5: Solve for x
    x = 256,311,006,400,656/10,259,076
  6. Step 6: Final answer
    x = 24,983,829.58

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.