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Finding the Third Proportional to 11,954,103,297 and 26,160,097,618

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Solution

The third proportional to 11,954,103,297 and 26,160,097,618 is: 57,248,184,190.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,954,103,297 : 26,160,097,618 = 26,160,097,618 : x
  2. Step 2: Convert to fraction form
    11,954,103,297/26,160,097,618 = 26,160,097,618/x
  3. Step 3: Cross multiply
    11,954,103,297x = 26,160,097,618 × 26,160,097,618
  4. Step 4: Simplify right side
    11,954,103,297x = 684,350,707,383,289,249,792
  5. Step 5: Solve for x
    x = 684,350,707,383,289,249,792/11,954,103,297
  6. Step 6: Final answer
    x = 57,248,184,190.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.