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Finding the Third Proportional to 1,218,457,749.75 and 1,856,255,649

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Solution

The third proportional to 1,218,457,749.75 and 1,856,255,649 is: 2,827,906,864.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218,457,749.75 : 1,856,255,649 = 1,856,255,649 : x
  2. Step 2: Convert to fraction form
    1,218,457,749.75/1,856,255,649 = 1,856,255,649/x
  3. Step 3: Cross multiply
    1,218,457,749.75x = 1,856,255,649 × 1,856,255,649
  4. Step 4: Simplify right side
    1,218,457,749.75x = 3,445,685,034,444,411,392
  5. Step 5: Solve for x
    x = 3,445,685,034,444,411,392/1,218,457,749.75
  6. Step 6: Final answer
    x = 2,827,906,864.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.