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Finding the Third Proportional to 952,687,271 and 2,063,681,681

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Solution

The third proportional to 952,687,271 and 2,063,681,681 is: 4,470,283,386.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,687,271 : 2,063,681,681 = 2,063,681,681 : x
  2. Step 2: Convert to fraction form
    952,687,271/2,063,681,681 = 2,063,681,681/x
  3. Step 3: Cross multiply
    952,687,271x = 2,063,681,681 × 2,063,681,681
  4. Step 4: Simplify right side
    952,687,271x = 4,258,782,080,494,985,728
  5. Step 5: Solve for x
    x = 4,258,782,080,494,985,728/952,687,271
  6. Step 6: Final answer
    x = 4,470,283,386.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.