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Finding the Third Proportional to 4,062,020,966 and 8,845,170,365

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Solution

The third proportional to 4,062,020,966 and 8,845,170,365 is: 19,260,619,145.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,062,020,966 : 8,845,170,365 = 8,845,170,365 : x
  2. Step 2: Convert to fraction form
    4,062,020,966/8,845,170,365 = 8,845,170,365/x
  3. Step 3: Cross multiply
    4,062,020,966x = 8,845,170,365 × 8,845,170,365
  4. Step 4: Simplify right side
    4,062,020,966x = 78,237,038,785,874,231,296
  5. Step 5: Solve for x
    x = 78,237,038,785,874,231,296/4,062,020,966
  6. Step 6: Final answer
    x = 19,260,619,145.18

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Why These Related Problems?

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