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Finding the Third Proportional to 953,034,534,855 and 2,042,031,958,992

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Solution

The third proportional to 953,034,534,855 and 2,042,031,958,992 is: 4,375,386,587,831.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    953,034,534,855 : 2,042,031,958,992 = 2,042,031,958,992 : x
  2. Step 2: Convert to fraction form
    953,034,534,855/2,042,031,958,992 = 2,042,031,958,992/x
  3. Step 3: Cross multiply
    953,034,534,855x = 2,042,031,958,992 × 2,042,031,958,992
  4. Step 4: Simplify right side
    953,034,534,855x = 4,169,894,521,544,705,421,869,056
  5. Step 5: Solve for x
    x = 4,169,894,521,544,705,421,869,056/953,034,534,855
  6. Step 6: Final answer
    x = 4,375,386,587,831.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.