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Finding the Third Proportional to 4,258,507,905 and 9,266,886,270

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Solution

The third proportional to 4,258,507,905 and 9,266,886,270 is: 20,165,556,353.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,258,507,905 : 9,266,886,270 = 9,266,886,270 : x
  2. Step 2: Convert to fraction form
    4,258,507,905/9,266,886,270 = 9,266,886,270/x
  3. Step 3: Cross multiply
    4,258,507,905x = 9,266,886,270 × 9,266,886,270
  4. Step 4: Simplify right side
    4,258,507,905x = 85,875,181,141,114,519,552
  5. Step 5: Solve for x
    x = 85,875,181,141,114,519,552/4,258,507,905
  6. Step 6: Final answer
    x = 20,165,556,353.74

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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.