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Finding the Third Proportional to 852,286,874,976 and 1,854,610,572,870

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Solution

The third proportional to 852,286,874,976 and 1,854,610,572,870 is: 4,035,707,316,386.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,286,874,976 : 1,854,610,572,870 = 1,854,610,572,870 : x
  2. Step 2: Convert to fraction form
    852,286,874,976/1,854,610,572,870 = 1,854,610,572,870/x
  3. Step 3: Cross multiply
    852,286,874,976x = 1,854,610,572,870 × 1,854,610,572,870
  4. Step 4: Simplify right side
    852,286,874,976x = 3,439,580,377,001,189,466,701,824
  5. Step 5: Solve for x
    x = 3,439,580,377,001,189,466,701,824/852,286,874,976
  6. Step 6: Final answer
    x = 4,035,707,316,386.92

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