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Finding the Third Proportional to 1,218,457,747.50 and 1,856,255,646

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Solution

The third proportional to 1,218,457,747.50 and 1,856,255,646 is: 2,827,906,860.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218,457,747.50 : 1,856,255,646 = 1,856,255,646 : x
  2. Step 2: Convert to fraction form
    1,218,457,747.50/1,856,255,646 = 1,856,255,646/x
  3. Step 3: Cross multiply
    1,218,457,747.50x = 1,856,255,646 × 1,856,255,646
  4. Step 4: Simplify right side
    1,218,457,747.50x = 3,445,685,023,306,877,440
  5. Step 5: Solve for x
    x = 3,445,685,023,306,877,440/1,218,457,747.50
  6. Step 6: Final answer
    x = 2,827,906,860.44

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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.