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Finding the Third Proportional to 413,244,772 and 899,127,730

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Solution

The third proportional to 413,244,772 and 899,127,730 is: 1,956,299,824.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,244,772 : 899,127,730 = 899,127,730 : x
  2. Step 2: Convert to fraction form
    413,244,772/899,127,730 = 899,127,730/x
  3. Step 3: Cross multiply
    413,244,772x = 899,127,730 × 899,127,730
  4. Step 4: Simplify right side
    413,244,772x = 808,430,674,854,952,960
  5. Step 5: Solve for x
    x = 808,430,674,854,952,960/413,244,772
  6. Step 6: Final answer
    x = 1,956,299,824.30

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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.