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Finding the Third Proportional to 4,258,507,772 and 9,266,886,006

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Solution

The third proportional to 4,258,507,772 and 9,266,886,006 is: 20,165,555,834.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,258,507,772 : 9,266,886,006 = 9,266,886,006 : x
  2. Step 2: Convert to fraction form
    4,258,507,772/9,266,886,006 = 9,266,886,006/x
  3. Step 3: Cross multiply
    4,258,507,772x = 9,266,886,006 × 9,266,886,006
  4. Step 4: Simplify right side
    4,258,507,772x = 85,875,176,248,198,627,328
  5. Step 5: Solve for x
    x = 85,875,176,248,198,627,328/4,258,507,772
  6. Step 6: Final answer
    x = 20,165,555,834.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.