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Finding the Third Proportional to 614,779,128 and 1,327,717,512

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Solution

The third proportional to 614,779,128 and 1,327,717,512 is: 2,867,426,220.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,779,128 : 1,327,717,512 = 1,327,717,512 : x
  2. Step 2: Convert to fraction form
    614,779,128/1,327,717,512 = 1,327,717,512/x
  3. Step 3: Cross multiply
    614,779,128x = 1,327,717,512 × 1,327,717,512
  4. Step 4: Simplify right side
    614,779,128x = 1,762,833,791,671,470,080
  5. Step 5: Solve for x
    x = 1,762,833,791,671,470,080/614,779,128
  6. Step 6: Final answer
    x = 2,867,426,220.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.