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Finding the Third Proportional to 551,638,842.75 and 822,674,566.13

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Solution

The third proportional to 551,638,842.75 and 822,674,566.13 is: 1,226,877,785.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,638,842.75 : 822,674,566.13 = 822,674,566.13 : x
  2. Step 2: Convert to fraction form
    551,638,842.75/822,674,566.13 = 822,674,566.13/x
  3. Step 3: Cross multiply
    551,638,842.75x = 822,674,566.13 × 822,674,566.13
  4. Step 4: Simplify right side
    551,638,842.75x = 676,793,441,748,957,056
  5. Step 5: Solve for x
    x = 676,793,441,748,957,056/551,638,842.75
  6. Step 6: Final answer
    x = 1,226,877,785.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.