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Finding the Third Proportional to 4,878,472 and 7,142,748

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Solution

The third proportional to 4,878,472 and 7,142,748 is: 10,457,956.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,878,472 : 7,142,748 = 7,142,748 : x
  2. Step 2: Convert to fraction form
    4,878,472/7,142,748 = 7,142,748/x
  3. Step 3: Cross multiply
    4,878,472x = 7,142,748 × 7,142,748
  4. Step 4: Simplify right side
    4,878,472x = 51,018,848,991,504
  5. Step 5: Solve for x
    x = 51,018,848,991,504/4,878,472
  6. Step 6: Final answer
    x = 10,457,956.71

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