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Finding the Third Proportional to 1,049,540,309 and 2,429,750,148

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Solution

The third proportional to 1,049,540,309 and 2,429,750,148 is: 5,625,020,526.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049,540,309 : 2,429,750,148 = 2,429,750,148 : x
  2. Step 2: Convert to fraction form
    1,049,540,309/2,429,750,148 = 2,429,750,148/x
  3. Step 3: Cross multiply
    1,049,540,309x = 2,429,750,148 × 2,429,750,148
  4. Step 4: Simplify right side
    1,049,540,309x = 5,903,685,781,706,021,888
  5. Step 5: Solve for x
    x = 5,903,685,781,706,021,888/1,049,540,309
  6. Step 6: Final answer
    x = 5,625,020,526.68

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.