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Finding the Third Proportional to 386,867,130 and 849,735,144

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Solution

The third proportional to 386,867,130 and 849,735,144 is: 1,866,402,593.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,867,130 : 849,735,144 = 849,735,144 : x
  2. Step 2: Convert to fraction form
    386,867,130/849,735,144 = 849,735,144/x
  3. Step 3: Cross multiply
    386,867,130x = 849,735,144 × 849,735,144
  4. Step 4: Simplify right side
    386,867,130x = 722,049,814,948,700,672
  5. Step 5: Solve for x
    x = 722,049,814,948,700,672/386,867,130
  6. Step 6: Final answer
    x = 1,866,402,593.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.