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Finding the Third Proportional to 519,607,910 and 1,130,687,743.50

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Solution

The third proportional to 519,607,910 and 1,130,687,743.50 is: 2,460,422,077.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,607,910 : 1,130,687,743.50 = 1,130,687,743.50 : x
  2. Step 2: Convert to fraction form
    519,607,910/1,130,687,743.50 = 1,130,687,743.50/x
  3. Step 3: Cross multiply
    519,607,910x = 1,130,687,743.50 × 1,130,687,743.50
  4. Step 4: Simplify right side
    519,607,910x = 1,278,454,773,301,121,792
  5. Step 5: Solve for x
    x = 1,278,454,773,301,121,792/519,607,910
  6. Step 6: Final answer
    x = 2,460,422,077.30

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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.