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Finding the Third Proportional to 9,174,336 and 14,575,128

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Solution

The third proportional to 9,174,336 and 14,575,128 is: 23,155,284.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174,336 : 14,575,128 = 14,575,128 : x
  2. Step 2: Convert to fraction form
    9,174,336/14,575,128 = 14,575,128/x
  3. Step 3: Cross multiply
    9,174,336x = 14,575,128 × 14,575,128
  4. Step 4: Simplify right side
    9,174,336x = 212,434,356,216,384
  5. Step 5: Solve for x
    x = 212,434,356,216,384/9,174,336
  6. Step 6: Final answer
    x = 23,155,284.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.