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Finding the Third Proportional to 29,678,354 and 47,210,457

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Solution

The third proportional to 29,678,354 and 47,210,457 is: 75,099,422.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,678,354 : 47,210,457 = 47,210,457 : x
  2. Step 2: Convert to fraction form
    29,678,354/47,210,457 = 47,210,457/x
  3. Step 3: Cross multiply
    29,678,354x = 47,210,457 × 47,210,457
  4. Step 4: Simplify right side
    29,678,354x = 2,228,827,250,148,849
  5. Step 5: Solve for x
    x = 2,228,827,250,148,849/29,678,354
  6. Step 6: Final answer
    x = 75,099,422.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.