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Finding the Third Proportional to 74,592,346 and 156,915,224

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Solution

The third proportional to 74,592,346 and 156,915,224 is: 330,092,681.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,592,346 : 156,915,224 = 156,915,224 : x
  2. Step 2: Convert to fraction form
    74,592,346/156,915,224 = 156,915,224/x
  3. Step 3: Cross multiply
    74,592,346x = 156,915,224 × 156,915,224
  4. Step 4: Simplify right side
    74,592,346x = 24,622,387,522,970,176
  5. Step 5: Solve for x
    x = 24,622,387,522,970,176/74,592,346
  6. Step 6: Final answer
    x = 330,092,681.67

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.