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Finding the Third Proportional to 77,950,465 and 167,415,457

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Solution

The third proportional to 77,950,465 and 167,415,457 is: 359,560,847.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,950,465 : 167,415,457 = 167,415,457 : x
  2. Step 2: Convert to fraction form
    77,950,465/167,415,457 = 167,415,457/x
  3. Step 3: Cross multiply
    77,950,465x = 167,415,457 × 167,415,457
  4. Step 4: Simplify right side
    77,950,465x = 28,027,935,242,518,848
  5. Step 5: Solve for x
    x = 28,027,935,242,518,848/77,950,465
  6. Step 6: Final answer
    x = 359,560,847.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.