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Finding the Third Proportional to 1,571,641,065 and 2,415,724,929

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Solution

The third proportional to 1,571,641,065 and 2,415,724,929 is: 3,713,142,308.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571,641,065 : 2,415,724,929 = 2,415,724,929 : x
  2. Step 2: Convert to fraction form
    1,571,641,065/2,415,724,929 = 2,415,724,929/x
  3. Step 3: Cross multiply
    1,571,641,065x = 2,415,724,929 × 2,415,724,929
  4. Step 4: Simplify right side
    1,571,641,065x = 5,835,726,932,592,055,296
  5. Step 5: Solve for x
    x = 5,835,726,932,592,055,296/1,571,641,065
  6. Step 6: Final answer
    x = 3,713,142,308.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.