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Finding the Third Proportional to 877,523,028,272 and 1,779,720,005,838

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Solution

The third proportional to 877,523,028,272 and 1,779,720,005,838 is: 3,609,481,685,531.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,523,028,272 : 1,779,720,005,838 = 1,779,720,005,838 : x
  2. Step 2: Convert to fraction form
    877,523,028,272/1,779,720,005,838 = 1,779,720,005,838/x
  3. Step 3: Cross multiply
    877,523,028,272x = 1,779,720,005,838 × 1,779,720,005,838
  4. Step 4: Simplify right side
    877,523,028,272x = 3,167,403,299,180,010,876,698,624
  5. Step 5: Solve for x
    x = 3,167,403,299,180,010,876,698,624/877,523,028,272
  6. Step 6: Final answer
    x = 3,609,481,685,531.60

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.