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Finding the Third Proportional to 2,526,541,911 and 5,634,017,685

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Solution

The third proportional to 2,526,541,911 and 5,634,017,685 is: 12,563,478,617.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,526,541,911 : 5,634,017,685 = 5,634,017,685 : x
  2. Step 2: Convert to fraction form
    2,526,541,911/5,634,017,685 = 5,634,017,685/x
  3. Step 3: Cross multiply
    2,526,541,911x = 5,634,017,685 × 5,634,017,685
  4. Step 4: Simplify right side
    2,526,541,911x = 31,742,155,274,892,759,040
  5. Step 5: Solve for x
    x = 31,742,155,274,892,759,040/2,526,541,911
  6. Step 6: Final answer
    x = 12,563,478,617.43

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.