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Finding the Third Proportional to 1,086,865,792 and 2,296,406,784

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Solution

The third proportional to 1,086,865,792 and 2,296,406,784 is: 4,852,010,392.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086,865,792 : 2,296,406,784 = 2,296,406,784 : x
  2. Step 2: Convert to fraction form
    1,086,865,792/2,296,406,784 = 2,296,406,784/x
  3. Step 3: Cross multiply
    1,086,865,792x = 2,296,406,784 × 2,296,406,784
  4. Step 4: Simplify right side
    1,086,865,792x = 5,273,484,117,601,222,656
  5. Step 5: Solve for x
    x = 5,273,484,117,601,222,656/1,086,865,792
  6. Step 6: Final answer
    x = 4,852,010,392.10

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.