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Finding the Third Proportional to 4,716,913 and 10,106,441

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Solution

The third proportional to 4,716,913 and 10,106,441 is: 21,654,024.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716,913 : 10,106,441 = 10,106,441 : x
  2. Step 2: Convert to fraction form
    4,716,913/10,106,441 = 10,106,441/x
  3. Step 3: Cross multiply
    4,716,913x = 10,106,441 × 10,106,441
  4. Step 4: Simplify right side
    4,716,913x = 102,140,149,686,481
  5. Step 5: Solve for x
    x = 102,140,149,686,481/4,716,913
  6. Step 6: Final answer
    x = 21,654,024.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.