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Finding the Third Proportional to 409,907,964 and 885,132,864

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Solution

The third proportional to 409,907,964 and 885,132,864 is: 1,911,307,551.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,907,964 : 885,132,864 = 885,132,864 : x
  2. Step 2: Convert to fraction form
    409,907,964/885,132,864 = 885,132,864/x
  3. Step 3: Cross multiply
    409,907,964x = 885,132,864 × 885,132,864
  4. Step 4: Simplify right side
    409,907,964x = 783,460,186,932,842,496
  5. Step 5: Solve for x
    x = 783,460,186,932,842,496/409,907,964
  6. Step 6: Final answer
    x = 1,911,307,551.30

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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.