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Finding the Third Proportional to 1,130,523,818 and 1,706,533,863

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Solution

The third proportional to 1,130,523,818 and 1,706,533,863 is: 2,576,025,183.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130,523,818 : 1,706,533,863 = 1,706,533,863 : x
  2. Step 2: Convert to fraction form
    1,130,523,818/1,706,533,863 = 1,706,533,863/x
  3. Step 3: Cross multiply
    1,130,523,818x = 1,706,533,863 × 1,706,533,863
  4. Step 4: Simplify right side
    1,130,523,818x = 2,912,257,825,565,702,656
  5. Step 5: Solve for x
    x = 2,912,257,825,565,702,656/1,130,523,818
  6. Step 6: Final answer
    x = 2,576,025,183.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.