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Finding the Third Proportional to 14,863,585 and 21,721,861

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Solution

The third proportional to 14,863,585 and 21,721,861 is: 31,744,646.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,863,585 : 21,721,861 = 21,721,861 : x
  2. Step 2: Convert to fraction form
    14,863,585/21,721,861 = 21,721,861/x
  3. Step 3: Cross multiply
    14,863,585x = 21,721,861 × 21,721,861
  4. Step 4: Simplify right side
    14,863,585x = 471,839,245,303,321
  5. Step 5: Solve for x
    x = 471,839,245,303,321/14,863,585
  6. Step 6: Final answer
    x = 31,744,646.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.