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Finding the Third Proportional to 1,722,634,968 and 3,778,775,784

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Solution

The third proportional to 1,722,634,968 and 3,778,775,784 is: 8,289,130,716.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722,634,968 : 3,778,775,784 = 3,778,775,784 : x
  2. Step 2: Convert to fraction form
    1,722,634,968/3,778,775,784 = 3,778,775,784/x
  3. Step 3: Cross multiply
    1,722,634,968x = 3,778,775,784 × 3,778,775,784
  4. Step 4: Simplify right side
    1,722,634,968x = 14,279,146,425,744,814,080
  5. Step 5: Solve for x
    x = 14,279,146,425,744,814,080/1,722,634,968
  6. Step 6: Final answer
    x = 8,289,130,716.02

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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.