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Finding the Third Proportional to 4,410,943,566 and 6,829,111,413

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Solution

The third proportional to 4,410,943,566 and 6,829,111,413 is: 10,572,967,437.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,410,943,566 : 6,829,111,413 = 6,829,111,413 : x
  2. Step 2: Convert to fraction form
    4,410,943,566/6,829,111,413 = 6,829,111,413/x
  3. Step 3: Cross multiply
    4,410,943,566x = 6,829,111,413 × 6,829,111,413
  4. Step 4: Simplify right side
    4,410,943,566x = 46,636,762,691,166,855,168
  5. Step 5: Solve for x
    x = 46,636,762,691,166,855,168/4,410,943,566
  6. Step 6: Final answer
    x = 10,572,967,437.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.