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Finding the Third Proportional to 517,064,677 and 773,765,038

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Solution

The third proportional to 517,064,677 and 773,765,038 is: 1,157,906,081.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,064,677 : 773,765,038 = 773,765,038 : x
  2. Step 2: Convert to fraction form
    517,064,677/773,765,038 = 773,765,038/x
  3. Step 3: Cross multiply
    517,064,677x = 773,765,038 × 773,765,038
  4. Step 4: Simplify right side
    517,064,677x = 598,712,334,031,141,504
  5. Step 5: Solve for x
    x = 598,712,334,031,141,504/517,064,677
  6. Step 6: Final answer
    x = 1,157,906,081.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.