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Finding the Third Proportional to 37,857,377,259 and 81,759,286,374

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Solution

The third proportional to 37,857,377,259 and 81,759,286,374 is: 176,572,742,022.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,857,377,259 : 81,759,286,374 = 81,759,286,374 : x
  2. Step 2: Convert to fraction form
    37,857,377,259/81,759,286,374 = 81,759,286,374/x
  3. Step 3: Cross multiply
    37,857,377,259x = 81,759,286,374 × 81,759,286,374
  4. Step 4: Simplify right side
    37,857,377,259x = 6,684,580,908,385,741,832,192
  5. Step 5: Solve for x
    x = 6,684,580,908,385,741,832,192/37,857,377,259
  6. Step 6: Final answer
    x = 176,572,742,022.07

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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.