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Finding the Third Proportional to 953,730,301.50 and 1,288,169,122.50

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Solution

The third proportional to 953,730,301.50 and 1,288,169,122.50 is: 1,739,883,576.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    953,730,301.50 : 1,288,169,122.50 = 1,288,169,122.50 : x
  2. Step 2: Convert to fraction form
    953,730,301.50/1,288,169,122.50 = 1,288,169,122.50/x
  3. Step 3: Cross multiply
    953,730,301.50x = 1,288,169,122.50 × 1,288,169,122.50
  4. Step 4: Simplify right side
    953,730,301.50x = 1,659,379,688,162,419,968
  5. Step 5: Solve for x
    x = 1,659,379,688,162,419,968/953,730,301.50
  6. Step 6: Final answer
    x = 1,739,883,576.68

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.