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Finding the Third Proportional to 2,300,210,812 and 3,289,326,774

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Solution

The third proportional to 2,300,210,812 and 3,289,326,774 is: 4,703,773,484.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300,210,812 : 3,289,326,774 = 3,289,326,774 : x
  2. Step 2: Convert to fraction form
    2,300,210,812/3,289,326,774 = 3,289,326,774/x
  3. Step 3: Cross multiply
    2,300,210,812x = 3,289,326,774 × 3,289,326,774
  4. Step 4: Simplify right side
    2,300,210,812x = 10,819,670,626,153,246,720
  5. Step 5: Solve for x
    x = 10,819,670,626,153,246,720/2,300,210,812
  6. Step 6: Final answer
    x = 4,703,773,484.46

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.