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Finding the Third Proportional to 14,652,534 and 21,539,778

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Solution

The third proportional to 14,652,534 and 21,539,778 is: 31,664,286.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,652,534 : 21,539,778 = 21,539,778 : x
  2. Step 2: Convert to fraction form
    14,652,534/21,539,778 = 21,539,778/x
  3. Step 3: Cross multiply
    14,652,534x = 21,539,778 × 21,539,778
  4. Step 4: Simplify right side
    14,652,534x = 463,962,036,289,284
  5. Step 5: Solve for x
    x = 463,962,036,289,284/14,652,534
  6. Step 6: Final answer
    x = 31,664,286.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.