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Finding the Third Proportional to 1,179,145,524 and 2,523,932,971

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Solution

The third proportional to 1,179,145,524 and 2,523,932,971 is: 5,402,418,541.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179,145,524 : 2,523,932,971 = 2,523,932,971 : x
  2. Step 2: Convert to fraction form
    1,179,145,524/2,523,932,971 = 2,523,932,971/x
  3. Step 3: Cross multiply
    1,179,145,524x = 2,523,932,971 × 2,523,932,971
  4. Step 4: Simplify right side
    1,179,145,524x = 6,370,237,642,100,886,528
  5. Step 5: Solve for x
    x = 6,370,237,642,100,886,528/1,179,145,524
  6. Step 6: Final answer
    x = 5,402,418,541.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.