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Finding the Third Proportional to 2,425,854,381 and 3,726,409,106.25

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Solution

The third proportional to 2,425,854,381 and 3,726,409,106.25 is: 5,724,220,273.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425,854,381 : 3,726,409,106.25 = 3,726,409,106.25 : x
  2. Step 2: Convert to fraction form
    2,425,854,381/3,726,409,106.25 = 3,726,409,106.25/x
  3. Step 3: Cross multiply
    2,425,854,381x = 3,726,409,106.25 × 3,726,409,106.25
  4. Step 4: Simplify right side
    2,425,854,381x = 13,886,124,827,142,924,288
  5. Step 5: Solve for x
    x = 13,886,124,827,142,924,288/2,425,854,381
  6. Step 6: Final answer
    x = 5,724,220,273.03

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