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Finding the Third Proportional to 567,240,814 and 1,233,868,124

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Solution

The third proportional to 567,240,814 and 1,233,868,124 is: 2,683,922,788.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,240,814 : 1,233,868,124 = 1,233,868,124 : x
  2. Step 2: Convert to fraction form
    567,240,814/1,233,868,124 = 1,233,868,124/x
  3. Step 3: Cross multiply
    567,240,814x = 1,233,868,124 × 1,233,868,124
  4. Step 4: Simplify right side
    567,240,814x = 1,522,430,547,423,279,360
  5. Step 5: Solve for x
    x = 1,522,430,547,423,279,360/567,240,814
  6. Step 6: Final answer
    x = 2,683,922,788.78

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.