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Finding the Third Proportional to 8,886,105,706.50 and 18,507,709,154.25

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Solution

The third proportional to 8,886,105,706.50 and 18,507,709,154.25 is: 38,547,290,506.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,886,105,706.50 : 18,507,709,154.25 = 18,507,709,154.25 : x
  2. Step 2: Convert to fraction form
    8,886,105,706.50/18,507,709,154.25 = 18,507,709,154.25/x
  3. Step 3: Cross multiply
    8,886,105,706.50x = 18,507,709,154.25 × 18,507,709,154.25
  4. Step 4: Simplify right side
    8,886,105,706.50x = 342,535,298,138,309,263,360
  5. Step 5: Solve for x
    x = 342,535,298,138,309,263,360/8,886,105,706.50
  6. Step 6: Final answer
    x = 38,547,290,506.32

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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.