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Finding the Third Proportional to 469,693,416 and 999,853,008

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Solution

The third proportional to 469,693,416 and 999,853,008 is: 2,128,422,506.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,693,416 : 999,853,008 = 999,853,008 : x
  2. Step 2: Convert to fraction form
    469,693,416/999,853,008 = 999,853,008/x
  3. Step 3: Cross multiply
    469,693,416x = 999,853,008 × 999,853,008
  4. Step 4: Simplify right side
    469,693,416x = 999,706,037,606,648,064
  5. Step 5: Solve for x
    x = 999,706,037,606,648,064/469,693,416
  6. Step 6: Final answer
    x = 2,128,422,506.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.