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Finding the Third Proportional to 880,082,457 and 1,865,091,294

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Solution

The third proportional to 880,082,457 and 1,865,091,294 is: 3,952,545,022.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    880,082,457 : 1,865,091,294 = 1,865,091,294 : x
  2. Step 2: Convert to fraction form
    880,082,457/1,865,091,294 = 1,865,091,294/x
  3. Step 3: Cross multiply
    880,082,457x = 1,865,091,294 × 1,865,091,294
  4. Step 4: Simplify right side
    880,082,457x = 3,478,565,534,954,594,304
  5. Step 5: Solve for x
    x = 3,478,565,534,954,594,304/880,082,457
  6. Step 6: Final answer
    x = 3,952,545,022.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.