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Finding the Third Proportional to 47,755,413 and 75,740,346

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Solution

The third proportional to 47,755,413 and 75,740,346 is: 120,124,602.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,755,413 : 75,740,346 = 75,740,346 : x
  2. Step 2: Convert to fraction form
    47,755,413/75,740,346 = 75,740,346/x
  3. Step 3: Cross multiply
    47,755,413x = 75,740,346 × 75,740,346
  4. Step 4: Simplify right side
    47,755,413x = 5,736,600,012,199,716
  5. Step 5: Solve for x
    x = 5,736,600,012,199,716/47,755,413
  6. Step 6: Final answer
    x = 120,124,602.67

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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.