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Finding the Third Proportional to 6,729,648,224 and 14,725,779,424

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Solution

The third proportional to 6,729,648,224 and 14,725,779,424 is: 32,222,869,966.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729,648,224 : 14,725,779,424 = 14,725,779,424 : x
  2. Step 2: Convert to fraction form
    6,729,648,224/14,725,779,424 = 14,725,779,424/x
  3. Step 3: Cross multiply
    6,729,648,224x = 14,725,779,424 × 14,725,779,424
  4. Step 4: Simplify right side
    6,729,648,224x = 216,848,579,644,301,770,752
  5. Step 5: Solve for x
    x = 216,848,579,644,301,770,752/6,729,648,224
  6. Step 6: Final answer
    x = 32,222,869,966.81

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.