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Finding the Third Proportional to 2,907,353,580 and 6,340,907,562

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Solution

The third proportional to 2,907,353,580 and 6,340,907,562 is: 13,829,452,663.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907,353,580 : 6,340,907,562 = 6,340,907,562 : x
  2. Step 2: Convert to fraction form
    2,907,353,580/6,340,907,562 = 6,340,907,562/x
  3. Step 3: Cross multiply
    2,907,353,580x = 6,340,907,562 × 6,340,907,562
  4. Step 4: Simplify right side
    2,907,353,580x = 40,207,108,709,828,780,032
  5. Step 5: Solve for x
    x = 40,207,108,709,828,780,032/2,907,353,580
  6. Step 6: Final answer
    x = 13,829,452,663.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.