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Finding the Third Proportional to 357,293,031 and 773,942,943

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Solution

The third proportional to 357,293,031 and 773,942,943 is: 1,676,460,571.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,293,031 : 773,942,943 = 773,942,943 : x
  2. Step 2: Convert to fraction form
    357,293,031/773,942,943 = 773,942,943/x
  3. Step 3: Cross multiply
    357,293,031x = 773,942,943 × 773,942,943
  4. Step 4: Simplify right side
    357,293,031x = 598,987,679,019,501,312
  5. Step 5: Solve for x
    x = 598,987,679,019,501,312/357,293,031
  6. Step 6: Final answer
    x = 1,676,460,571.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.