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Finding the Third Proportional to 357,293,035 and 773,942,951

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Solution

The third proportional to 357,293,035 and 773,942,951 is: 1,676,460,587.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,293,035 : 773,942,951 = 773,942,951 : x
  2. Step 2: Convert to fraction form
    357,293,035/773,942,951 = 773,942,951/x
  3. Step 3: Cross multiply
    357,293,035x = 773,942,951 × 773,942,951
  4. Step 4: Simplify right side
    357,293,035x = 598,987,691,402,588,416
  5. Step 5: Solve for x
    x = 598,987,691,402,588,416/357,293,035
  6. Step 6: Final answer
    x = 1,676,460,587.60

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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.