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Finding the Third Proportional to 374,348,838 and 807,886,104

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Solution

The third proportional to 374,348,838 and 807,886,104 is: 1,743,507,367.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,348,838 : 807,886,104 = 807,886,104 : x
  2. Step 2: Convert to fraction form
    374,348,838/807,886,104 = 807,886,104/x
  3. Step 3: Cross multiply
    374,348,838x = 807,886,104 × 807,886,104
  4. Step 4: Simplify right side
    374,348,838x = 652,679,957,036,298,752
  5. Step 5: Solve for x
    x = 652,679,957,036,298,752/374,348,838
  6. Step 6: Final answer
    x = 1,743,507,367.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.