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Finding the Third Proportional to 11,765,858,490 and 25,210,271,169

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Solution

The third proportional to 11,765,858,490 and 25,210,271,169 is: 54,017,118,509.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765,858,490 : 25,210,271,169 = 25,210,271,169 : x
  2. Step 2: Convert to fraction form
    11,765,858,490/25,210,271,169 = 25,210,271,169/x
  3. Step 3: Cross multiply
    11,765,858,490x = 25,210,271,169 × 25,210,271,169
  4. Step 4: Simplify right side
    11,765,858,490x = 635,557,772,414,512,660,480
  5. Step 5: Solve for x
    x = 635,557,772,414,512,660,480/11,765,858,490
  6. Step 6: Final answer
    x = 54,017,118,509.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.