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Finding the Third Proportional to 9,277,428 and 14,044,458

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Solution

The third proportional to 9,277,428 and 14,044,458 is: 21,260,935.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277,428 : 14,044,458 = 14,044,458 : x
  2. Step 2: Convert to fraction form
    9,277,428/14,044,458 = 14,044,458/x
  3. Step 3: Cross multiply
    9,277,428x = 14,044,458 × 14,044,458
  4. Step 4: Simplify right side
    9,277,428x = 197,246,800,513,764
  5. Step 5: Solve for x
    x = 197,246,800,513,764/9,277,428
  6. Step 6: Final answer
    x = 21,260,935.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.