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Finding the Third Proportional to 1,214,810,253 and 1,814,254,820

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Solution

The third proportional to 1,214,810,253 and 1,814,254,820 is: 2,709,493,555.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,810,253 : 1,814,254,820 = 1,814,254,820 : x
  2. Step 2: Convert to fraction form
    1,214,810,253/1,814,254,820 = 1,814,254,820/x
  3. Step 3: Cross multiply
    1,214,810,253x = 1,814,254,820 × 1,814,254,820
  4. Step 4: Simplify right side
    1,214,810,253x = 3,291,520,551,893,232,640
  5. Step 5: Solve for x
    x = 3,291,520,551,893,232,640/1,214,810,253
  6. Step 6: Final answer
    x = 2,709,493,555.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.