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Finding the Third Proportional to 45,392,426 and 94,014,742.75

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Solution

The third proportional to 45,392,426 and 94,014,742.75 is: 194,719,089.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,392,426 : 94,014,742.75 = 94,014,742.75 : x
  2. Step 2: Convert to fraction form
    45,392,426/94,014,742.75 = 94,014,742.75/x
  3. Step 3: Cross multiply
    45,392,426x = 94,014,742.75 × 94,014,742.75
  4. Step 4: Simplify right side
    45,392,426x = 8,838,771,854,348,678
  5. Step 5: Solve for x
    x = 8,838,771,854,348,678/45,392,426
  6. Step 6: Final answer
    x = 194,719,089.36

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.