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Finding the Third Proportional to 616,753,215 and 1,346,525,061

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Solution

The third proportional to 616,753,215 and 1,346,525,061 is: 2,939,797,792.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,753,215 : 1,346,525,061 = 1,346,525,061 : x
  2. Step 2: Convert to fraction form
    616,753,215/1,346,525,061 = 1,346,525,061/x
  3. Step 3: Cross multiply
    616,753,215x = 1,346,525,061 × 1,346,525,061
  4. Step 4: Simplify right side
    616,753,215x = 1,813,129,739,901,053,696
  5. Step 5: Solve for x
    x = 1,813,129,739,901,053,696/616,753,215
  6. Step 6: Final answer
    x = 2,939,797,792.38

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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.