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Finding the Third Proportional to 466,193,634,070 and 1,014,478,191,739

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Solution

The third proportional to 466,193,634,070 and 1,014,478,191,739 is: 2,207,593,425,352.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,193,634,070 : 1,014,478,191,739 = 1,014,478,191,739 : x
  2. Step 2: Convert to fraction form
    466,193,634,070/1,014,478,191,739 = 1,014,478,191,739/x
  3. Step 3: Cross multiply
    466,193,634,070x = 1,014,478,191,739 × 1,014,478,191,739
  4. Step 4: Simplify right side
    466,193,634,070x = 1,029,166,001,514,031,202,959,360
  5. Step 5: Solve for x
    x = 1,029,166,001,514,031,202,959,360/466,193,634,070
  6. Step 6: Final answer
    x = 2,207,593,425,352.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.