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Finding the Third Proportional to 12,977,020,400 and 26,641,991,784

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Solution

The third proportional to 12,977,020,400 and 26,641,991,784 is: 54,696,355,892.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,977,020,400 : 26,641,991,784 = 26,641,991,784 : x
  2. Step 2: Convert to fraction form
    12,977,020,400/26,641,991,784 = 26,641,991,784/x
  3. Step 3: Cross multiply
    12,977,020,400x = 26,641,991,784 × 26,641,991,784
  4. Step 4: Simplify right side
    12,977,020,400x = 709,795,726,218,723,459,072
  5. Step 5: Solve for x
    x = 709,795,726,218,723,459,072/12,977,020,400
  6. Step 6: Final answer
    x = 54,696,355,892.20

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.