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Finding the Third Proportional to 395,551,776 and 581,896,214

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Solution

The third proportional to 395,551,776 and 581,896,214 is: 856,027,515.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,551,776 : 581,896,214 = 581,896,214 : x
  2. Step 2: Convert to fraction form
    395,551,776/581,896,214 = 581,896,214/x
  3. Step 3: Cross multiply
    395,551,776x = 581,896,214 × 581,896,214
  4. Step 4: Simplify right side
    395,551,776x = 338,603,203,867,533,824
  5. Step 5: Solve for x
    x = 338,603,203,867,533,824/395,551,776
  6. Step 6: Final answer
    x = 856,027,515.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.