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Finding the Third Proportional to 4,258,507,906 and 9,266,886,272

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Solution

The third proportional to 4,258,507,906 and 9,266,886,272 is: 20,165,556,357.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,258,507,906 : 9,266,886,272 = 9,266,886,272 : x
  2. Step 2: Convert to fraction form
    4,258,507,906/9,266,886,272 = 9,266,886,272/x
  3. Step 3: Cross multiply
    4,258,507,906x = 9,266,886,272 × 9,266,886,272
  4. Step 4: Simplify right side
    4,258,507,906x = 85,875,181,178,182,057,984
  5. Step 5: Solve for x
    x = 85,875,181,178,182,057,984/4,258,507,906
  6. Step 6: Final answer
    x = 20,165,556,357.71

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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.