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Finding the Third Proportional to 733,097,390,270 and 1,578,234,882,312

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Solution

The third proportional to 733,097,390,270 and 1,578,234,882,312 is: 3,397,673,183,407.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,097,390,270 : 1,578,234,882,312 = 1,578,234,882,312 : x
  2. Step 2: Convert to fraction form
    733,097,390,270/1,578,234,882,312 = 1,578,234,882,312/x
  3. Step 3: Cross multiply
    733,097,390,270x = 1,578,234,882,312 × 1,578,234,882,312
  4. Step 4: Simplify right side
    733,097,390,270x = 2,490,825,343,746,372,580,409,344
  5. Step 5: Solve for x
    x = 2,490,825,343,746,372,580,409,344/733,097,390,270
  6. Step 6: Final answer
    x = 3,397,673,183,407.46

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.