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Finding the Third Proportional to 30,196,532.64 and 65,773,734.54

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Solution

The third proportional to 30,196,532.64 and 65,773,734.54 is: 143,267,580.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,196,532.64 : 65,773,734.54 = 65,773,734.54 : x
  2. Step 2: Convert to fraction form
    30,196,532.64/65,773,734.54 = 65,773,734.54/x
  3. Step 3: Cross multiply
    30,196,532.64x = 65,773,734.54 × 65,773,734.54
  4. Step 4: Simplify right side
    30,196,532.64x = 4,326,184,155,214,997.50
  5. Step 5: Solve for x
    x = 4,326,184,155,214,997.50/30,196,532.64
  6. Step 6: Final answer
    x = 143,267,580.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.