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Finding the Third Proportional to 1,351,827,069,708.90 and 2,899,893,926,829.30

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Solution

The third proportional to 1,351,827,069,708.90 and 2,899,893,926,829.30 is: 6,220,754,840,093.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351,827,069,708.90 : 2,899,893,926,829.30 = 2,899,893,926,829.30 : x
  2. Step 2: Convert to fraction form
    1,351,827,069,708.90/2,899,893,926,829.30 = 2,899,893,926,829.30/x
  3. Step 3: Cross multiply
    1,351,827,069,708.90x = 2,899,893,926,829.30 × 2,899,893,926,829.30
  4. Step 4: Simplify right side
    1,351,827,069,708.90x = 8,409,384,786,861,456,806,117,376
  5. Step 5: Solve for x
    x = 8,409,384,786,861,456,806,117,376/1,351,827,069,708.90
  6. Step 6: Final answer
    x = 6,220,754,840,093.80

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.