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Finding the Third Proportional to 460,346,010 and 986,354,508

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Solution

The third proportional to 460,346,010 and 986,354,508 is: 2,113,399,908.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,346,010 : 986,354,508 = 986,354,508 : x
  2. Step 2: Convert to fraction form
    460,346,010/986,354,508 = 986,354,508/x
  3. Step 3: Cross multiply
    460,346,010x = 986,354,508 × 986,354,508
  4. Step 4: Simplify right side
    460,346,010x = 972,895,215,451,922,048
  5. Step 5: Solve for x
    x = 972,895,215,451,922,048/460,346,010
  6. Step 6: Final answer
    x = 2,113,399,908.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.