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Finding the Third Proportional to 877,523,028,271 and 1,779,720,005,835

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Solution

The third proportional to 877,523,028,271 and 1,779,720,005,835 is: 3,609,481,685,523.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,523,028,271 : 1,779,720,005,835 = 1,779,720,005,835 : x
  2. Step 2: Convert to fraction form
    877,523,028,271/1,779,720,005,835 = 1,779,720,005,835/x
  3. Step 3: Cross multiply
    877,523,028,271x = 1,779,720,005,835 × 1,779,720,005,835
  4. Step 4: Simplify right side
    877,523,028,271x = 3,167,403,299,169,332,514,258,944
  5. Step 5: Solve for x
    x = 3,167,403,299,169,332,514,258,944/877,523,028,271
  6. Step 6: Final answer
    x = 3,609,481,685,523.54

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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.