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Finding the Third Proportional to 895,728,342,030 and 1,974,034,643,824.50

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Solution

The third proportional to 895,728,342,030 and 1,974,034,643,824.50 is: 4,350,440,409,407.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    895,728,342,030 : 1,974,034,643,824.50 = 1,974,034,643,824.50 : x
  2. Step 2: Convert to fraction form
    895,728,342,030/1,974,034,643,824.50 = 1,974,034,643,824.50/x
  3. Step 3: Cross multiply
    895,728,342,030x = 1,974,034,643,824.50 × 1,974,034,643,824.50
  4. Step 4: Simplify right side
    895,728,342,030x = 3,896,812,775,019,320,489,017,344
  5. Step 5: Solve for x
    x = 3,896,812,775,019,320,489,017,344/895,728,342,030
  6. Step 6: Final answer
    x = 4,350,440,409,407.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.