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Finding the Third Proportional to 4,678,928,397.75 and 10,403,998,407

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Solution

The third proportional to 4,678,928,397.75 and 10,403,998,407 is: 23,134,182,370.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678,928,397.75 : 10,403,998,407 = 10,403,998,407 : x
  2. Step 2: Convert to fraction form
    4,678,928,397.75/10,403,998,407 = 10,403,998,407/x
  3. Step 3: Cross multiply
    4,678,928,397.75x = 10,403,998,407 × 10,403,998,407
  4. Step 4: Simplify right side
    4,678,928,397.75x = 108,243,182,852,858,544,128
  5. Step 5: Solve for x
    x = 108,243,182,852,858,544,128/4,678,928,397.75
  6. Step 6: Final answer
    x = 23,134,182,370.67

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.