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Finding the Third Proportional to 10,522,060,305 and 22,896,427,071

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Solution

The third proportional to 10,522,060,305 and 22,896,427,071 is: 49,823,547,615.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522,060,305 : 22,896,427,071 = 22,896,427,071 : x
  2. Step 2: Convert to fraction form
    10,522,060,305/22,896,427,071 = 22,896,427,071/x
  3. Step 3: Cross multiply
    10,522,060,305x = 22,896,427,071 × 22,896,427,071
  4. Step 4: Simplify right side
    10,522,060,305x = 524,246,372,617,621,667,840
  5. Step 5: Solve for x
    x = 524,246,372,617,621,667,840/10,522,060,305
  6. Step 6: Final answer
    x = 49,823,547,615.34

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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.