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Finding the Third Proportional to 1,279,312,031 and 1,934,714,447

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Solution

The third proportional to 1,279,312,031 and 1,934,714,447 is: 2,925,885,085.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279,312,031 : 1,934,714,447 = 1,934,714,447 : x
  2. Step 2: Convert to fraction form
    1,279,312,031/1,934,714,447 = 1,934,714,447/x
  3. Step 3: Cross multiply
    1,279,312,031x = 1,934,714,447 × 1,934,714,447
  4. Step 4: Simplify right side
    1,279,312,031x = 3,743,119,991,430,515,712
  5. Step 5: Solve for x
    x = 3,743,119,991,430,515,712/1,279,312,031
  6. Step 6: Final answer
    x = 2,925,885,085.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.