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Finding the Third Proportional to 7,432,784 and 10,862,272

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Solution

The third proportional to 7,432,784 and 10,862,272 is: 15,874,126.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,432,784 : 10,862,272 = 10,862,272 : x
  2. Step 2: Convert to fraction form
    7,432,784/10,862,272 = 10,862,272/x
  3. Step 3: Cross multiply
    7,432,784x = 10,862,272 × 10,862,272
  4. Step 4: Simplify right side
    7,432,784x = 117,988,953,001,984
  5. Step 5: Solve for x
    x = 117,988,953,001,984/7,432,784
  6. Step 6: Final answer
    x = 15,874,126.44

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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.