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Finding the Third Proportional to 253,779,388,971 and 383,938,375,629

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Solution

The third proportional to 253,779,388,971 and 383,938,375,629 is: 580,853,618,090.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,779,388,971 : 383,938,375,629 = 383,938,375,629 : x
  2. Step 2: Convert to fraction form
    253,779,388,971/383,938,375,629 = 383,938,375,629/x
  3. Step 3: Cross multiply
    253,779,388,971x = 383,938,375,629 × 383,938,375,629
  4. Step 4: Simplify right side
    253,779,388,971x = 147,408,676,280,635,102,330,880
  5. Step 5: Solve for x
    x = 147,408,676,280,635,102,330,880/253,779,388,971
  6. Step 6: Final answer
    x = 580,853,618,090.63

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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.