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Finding the Third Proportional to 8,886,105,710 and 18,507,709,163

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Solution

The third proportional to 8,886,105,710 and 18,507,709,163 is: 38,547,290,527.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,886,105,710 : 18,507,709,163 = 18,507,709,163 : x
  2. Step 2: Convert to fraction form
    8,886,105,710/18,507,709,163 = 18,507,709,163/x
  3. Step 3: Cross multiply
    8,886,105,710x = 18,507,709,163 × 18,507,709,163
  4. Step 4: Simplify right side
    8,886,105,710x = 342,535,298,462,194,139,136
  5. Step 5: Solve for x
    x = 342,535,298,462,194,139,136/8,886,105,710
  6. Step 6: Final answer
    x = 38,547,290,527.58

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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.