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Finding the Third Proportional to 37,857,377,257 and 81,759,286,370.25

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Solution

The third proportional to 37,857,377,257 and 81,759,286,370.25 is: 176,572,742,015.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,857,377,257 : 81,759,286,370.25 = 81,759,286,370.25 : x
  2. Step 2: Convert to fraction form
    37,857,377,257/81,759,286,370.25 = 81,759,286,370.25/x
  3. Step 3: Cross multiply
    37,857,377,257x = 81,759,286,370.25 × 81,759,286,370.25
  4. Step 4: Simplify right side
    37,857,377,257x = 6,684,580,907,772,547,170,304
  5. Step 5: Solve for x
    x = 6,684,580,907,772,547,170,304/37,857,377,257
  6. Step 6: Final answer
    x = 176,572,742,015.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.