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Finding the Third Proportional to 1,351,886,146 and 2,897,794,148

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Solution

The third proportional to 1,351,886,146 and 2,897,794,148 is: 6,211,477,903.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351,886,146 : 2,897,794,148 = 2,897,794,148 : x
  2. Step 2: Convert to fraction form
    1,351,886,146/2,897,794,148 = 2,897,794,148/x
  3. Step 3: Cross multiply
    1,351,886,146x = 2,897,794,148 × 2,897,794,148
  4. Step 4: Simplify right side
    1,351,886,146x = 8,397,210,924,183,046,144
  5. Step 5: Solve for x
    x = 8,397,210,924,183,046,144/1,351,886,146
  6. Step 6: Final answer
    x = 6,211,477,903.69

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.