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Finding the Third Proportional to 895,728,319,651.68 and 1,974,034,598,193.60

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Solution

The third proportional to 895,728,319,651.68 and 1,974,034,598,193.60 is: 4,350,440,316,971.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    895,728,319,651.68 : 1,974,034,598,193.60 = 1,974,034,598,193.60 : x
  2. Step 2: Convert to fraction form
    895,728,319,651.68/1,974,034,598,193.60 = 1,974,034,598,193.60/x
  3. Step 3: Cross multiply
    895,728,319,651.68x = 1,974,034,598,193.60 × 1,974,034,598,193.60
  4. Step 4: Simplify right side
    895,728,319,651.68x = 3,896,812,594,865,368,385,716,224
  5. Step 5: Solve for x
    x = 3,896,812,594,865,368,385,716,224/895,728,319,651.68
  6. Step 6: Final answer
    x = 4,350,440,316,971.01

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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.