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Finding the Third Proportional to 8,523,838,996,015 and 17,499,551,528,506

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Solution

The third proportional to 8,523,838,996,015 and 17,499,551,528,506 is: 35,926,805,262,512

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523,838,996,015 : 17,499,551,528,506 = 17,499,551,528,506 : x
  2. Step 2: Convert to fraction form
    8,523,838,996,015/17,499,551,528,506 = 17,499,551,528,506/x
  3. Step 3: Cross multiply
    8,523,838,996,015x = 17,499,551,528,506 × 17,499,551,528,506
  4. Step 4: Simplify right side
    8,523,838,996,015x = 306,234,303,698,836,692,565,753,856
  5. Step 5: Solve for x
    x = 306,234,303,698,836,692,565,753,856/8,523,838,996,015
  6. Step 6: Final answer
    x = 35,926,805,262,512

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.