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Finding the Third Proportional to 1,722,634,924 and 3,778,775,682

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Solution

The third proportional to 1,722,634,924 and 3,778,775,682 is: 8,289,130,480.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722,634,924 : 3,778,775,682 = 3,778,775,682 : x
  2. Step 2: Convert to fraction form
    1,722,634,924/3,778,775,682 = 3,778,775,682/x
  3. Step 3: Cross multiply
    1,722,634,924x = 3,778,775,682 × 3,778,775,682
  4. Step 4: Simplify right side
    1,722,634,924x = 14,279,145,654,874,564,608
  5. Step 5: Solve for x
    x = 14,279,145,654,874,564,608/1,722,634,924
  6. Step 6: Final answer
    x = 8,289,130,480.25

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Why These Related Problems?

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