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Finding the Third Proportional to 2,326,713,152 and 5,091,246,784

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Solution

The third proportional to 2,326,713,152 and 5,091,246,784 is: 11,140,519,747.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326,713,152 : 5,091,246,784 = 5,091,246,784 : x
  2. Step 2: Convert to fraction form
    2,326,713,152/5,091,246,784 = 5,091,246,784/x
  3. Step 3: Cross multiply
    2,326,713,152x = 5,091,246,784 × 5,091,246,784
  4. Step 4: Simplify right side
    2,326,713,152x = 25,920,793,815,590,342,656
  5. Step 5: Solve for x
    x = 25,920,793,815,590,342,656/2,326,713,152
  6. Step 6: Final answer
    x = 11,140,519,747.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.