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Finding the Third Proportional to 453,473,169 and 680,091,652.50

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Solution

The third proportional to 453,473,169 and 680,091,652.50 is: 1,019,960,358.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,473,169 : 680,091,652.50 = 680,091,652.50 : x
  2. Step 2: Convert to fraction form
    453,473,169/680,091,652.50 = 680,091,652.50/x
  3. Step 3: Cross multiply
    453,473,169x = 680,091,652.50 × 680,091,652.50
  4. Step 4: Simplify right side
    453,473,169x = 462,524,655,800,180,736
  5. Step 5: Solve for x
    x = 462,524,655,800,180,736/453,473,169
  6. Step 6: Final answer
    x = 1,019,960,358.01

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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.