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Finding the Third Proportional to 692,810,524.50 and 1,507,583,613

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Solution

The third proportional to 692,810,524.50 and 1,507,583,613 is: 3,280,562,678.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,810,524.50 : 1,507,583,613 = 1,507,583,613 : x
  2. Step 2: Convert to fraction form
    692,810,524.50/1,507,583,613 = 1,507,583,613/x
  3. Step 3: Cross multiply
    692,810,524.50x = 1,507,583,613 × 1,507,583,613
  4. Step 4: Simplify right side
    692,810,524.50x = 2,272,808,350,186,133,760
  5. Step 5: Solve for x
    x = 2,272,808,350,186,133,760/692,810,524.50
  6. Step 6: Final answer
    x = 3,280,562,678.85

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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.