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Finding the Third Proportional to 51,374,835 and 70,448,758.50

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Solution

The third proportional to 51,374,835 and 70,448,758.50 is: 96,604,253.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,374,835 : 70,448,758.50 = 70,448,758.50 : x
  2. Step 2: Convert to fraction form
    51,374,835/70,448,758.50 = 70,448,758.50/x
  3. Step 3: Cross multiply
    51,374,835x = 70,448,758.50 × 70,448,758.50
  4. Step 4: Simplify right side
    51,374,835x = 4,963,027,574,191,322
  5. Step 5: Solve for x
    x = 4,963,027,574,191,322/51,374,835
  6. Step 6: Final answer
    x = 96,604,253.31

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.