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Finding the Third Proportional to 14,545,557 and 21,692,214

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Solution

The third proportional to 14,545,557 and 21,692,214 is: 32,350,232.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,545,557 : 21,692,214 = 21,692,214 : x
  2. Step 2: Convert to fraction form
    14,545,557/21,692,214 = 21,692,214/x
  3. Step 3: Cross multiply
    14,545,557x = 21,692,214 × 21,692,214
  4. Step 4: Simplify right side
    14,545,557x = 470,552,148,221,796
  5. Step 5: Solve for x
    x = 470,552,148,221,796/14,545,557
  6. Step 6: Final answer
    x = 32,350,232.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.