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Finding the Third Proportional to 65,184,430 and 97,784,428

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Solution

The third proportional to 65,184,430 and 97,784,428 is: 146,688,317.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,184,430 : 97,784,428 = 97,784,428 : x
  2. Step 2: Convert to fraction form
    65,184,430/97,784,428 = 97,784,428/x
  3. Step 3: Cross multiply
    65,184,430x = 97,784,428 × 97,784,428
  4. Step 4: Simplify right side
    65,184,430x = 9,561,794,359,287,184
  5. Step 5: Solve for x
    x = 9,561,794,359,287,184/65,184,430
  6. Step 6: Final answer
    x = 146,688,317.43

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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.