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Finding the Third Proportional to 8,886,105,708 and 18,507,709,159

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Solution

The third proportional to 8,886,105,708 and 18,507,709,159 is: 38,547,290,519.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,886,105,708 : 18,507,709,159 = 18,507,709,159 : x
  2. Step 2: Convert to fraction form
    8,886,105,708/18,507,709,159 = 18,507,709,159/x
  3. Step 3: Cross multiply
    8,886,105,708x = 18,507,709,159 × 18,507,709,159
  4. Step 4: Simplify right side
    8,886,105,708x = 342,535,298,314,132,455,424
  5. Step 5: Solve for x
    x = 342,535,298,314,132,455,424/8,886,105,708
  6. Step 6: Final answer
    x = 38,547,290,519.60

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.