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Finding the Third Proportional to 65,184,429 and 97,784,427

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Solution

The third proportional to 65,184,429 and 97,784,427 is: 146,688,316.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,184,429 : 97,784,427 = 97,784,427 : x
  2. Step 2: Convert to fraction form
    65,184,429/97,784,427 = 97,784,427/x
  3. Step 3: Cross multiply
    65,184,429x = 97,784,427 × 97,784,427
  4. Step 4: Simplify right side
    65,184,429x = 9,561,794,163,718,328
  5. Step 5: Solve for x
    x = 9,561,794,163,718,328/65,184,429
  6. Step 6: Final answer
    x = 146,688,316.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.