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Finding the Third Proportional to 35,522,464 and 77,688,224

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Solution

The third proportional to 35,522,464 and 77,688,224 is: 169,905,447.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,522,464 : 77,688,224 = 77,688,224 : x
  2. Step 2: Convert to fraction form
    35,522,464/77,688,224 = 77,688,224/x
  3. Step 3: Cross multiply
    35,522,464x = 77,688,224 × 77,688,224
  4. Step 4: Simplify right side
    35,522,464x = 6,035,460,148,274,176
  5. Step 5: Solve for x
    x = 6,035,460,148,274,176/35,522,464
  6. Step 6: Final answer
    x = 169,905,447.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.