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Finding the Third Proportional to 1,187,551,080 and 2,456,563,536

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Solution

The third proportional to 1,187,551,080 and 2,456,563,536 is: 5,081,637,756.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187,551,080 : 2,456,563,536 = 2,456,563,536 : x
  2. Step 2: Convert to fraction form
    1,187,551,080/2,456,563,536 = 2,456,563,536/x
  3. Step 3: Cross multiply
    1,187,551,080x = 2,456,563,536 × 2,456,563,536
  4. Step 4: Simplify right side
    1,187,551,080x = 6,034,704,406,404,823,040
  5. Step 5: Solve for x
    x = 6,034,704,406,404,823,040/1,187,551,080
  6. Step 6: Final answer
    x = 5,081,637,756.92

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.