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Finding the Third Proportional to 50,349,411.75 and 77,748,297.75

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Solution

The third proportional to 50,349,411.75 and 77,748,297.75 is: 120,056,969.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,349,411.75 : 77,748,297.75 = 77,748,297.75 : x
  2. Step 2: Convert to fraction form
    50,349,411.75/77,748,297.75 = 77,748,297.75/x
  3. Step 3: Cross multiply
    50,349,411.75x = 77,748,297.75 × 77,748,297.75
  4. Step 4: Simplify right side
    50,349,411.75x = 6,044,797,803,022,655
  5. Step 5: Solve for x
    x = 6,044,797,803,022,655/50,349,411.75
  6. Step 6: Final answer
    x = 120,056,969.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.