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Finding the Third Proportional to 692,810,543.25 and 1,507,583,650.50

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Solution

The third proportional to 692,810,543.25 and 1,507,583,650.50 is: 3,280,562,753.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,810,543.25 : 1,507,583,650.50 = 1,507,583,650.50 : x
  2. Step 2: Convert to fraction form
    692,810,543.25/1,507,583,650.50 = 1,507,583,650.50/x
  3. Step 3: Cross multiply
    692,810,543.25x = 1,507,583,650.50 × 1,507,583,650.50
  4. Step 4: Simplify right side
    692,810,543.25x = 2,272,808,463,254,906,112
  5. Step 5: Solve for x
    x = 2,272,808,463,254,906,112/692,810,543.25
  6. Step 6: Final answer
    x = 3,280,562,753.26

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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.