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Finding the Third Proportional to 1,836,527,701,792 and 3,978,652,988,056

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Solution

The third proportional to 1,836,527,701,792 and 3,978,652,988,056 is: 8,619,352,479,094.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836,527,701,792 : 3,978,652,988,056 = 3,978,652,988,056 : x
  2. Step 2: Convert to fraction form
    1,836,527,701,792/3,978,652,988,056 = 3,978,652,988,056/x
  3. Step 3: Cross multiply
    1,836,527,701,792x = 3,978,652,988,056 × 3,978,652,988,056
  4. Step 4: Simplify right side
    1,836,527,701,792x = 15,829,679,599,366,936,742,330,368
  5. Step 5: Solve for x
    x = 15,829,679,599,366,936,742,330,368/1,836,527,701,792
  6. Step 6: Final answer
    x = 8,619,352,479,094.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.