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Finding the Third Proportional to 284,221,101 and 618,490,014

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Solution

The third proportional to 284,221,101 and 618,490,014 is: 1,345,888,451.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,221,101 : 618,490,014 = 618,490,014 : x
  2. Step 2: Convert to fraction form
    284,221,101/618,490,014 = 618,490,014/x
  3. Step 3: Cross multiply
    284,221,101x = 618,490,014 × 618,490,014
  4. Step 4: Simplify right side
    284,221,101x = 382,529,897,417,720,192
  5. Step 5: Solve for x
    x = 382,529,897,417,720,192/284,221,101
  6. Step 6: Final answer
    x = 1,345,888,451.18

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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.