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Finding the Third Proportional to 683,867,773.13 and 1,612,750,178.81

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Solution

The third proportional to 683,867,773.13 and 1,612,750,178.81 is: 3,803,312,923.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,867,773.13 : 1,612,750,178.81 = 1,612,750,178.81 : x
  2. Step 2: Convert to fraction form
    683,867,773.13/1,612,750,178.81 = 1,612,750,178.81/x
  3. Step 3: Cross multiply
    683,867,773.13x = 1,612,750,178.81 × 1,612,750,178.81
  4. Step 4: Simplify right side
    683,867,773.13x = 2,600,963,139,259,750,912
  5. Step 5: Solve for x
    x = 2,600,963,139,259,750,912/683,867,773.13
  6. Step 6: Final answer
    x = 3,803,312,923.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.