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Finding the Third Proportional to 4,651,352,988 and 7,149,465,900

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Solution

The third proportional to 4,651,352,988 and 7,149,465,900 is: 10,989,246,094.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651,352,988 : 7,149,465,900 = 7,149,465,900 : x
  2. Step 2: Convert to fraction form
    4,651,352,988/7,149,465,900 = 7,149,465,900/x
  3. Step 3: Cross multiply
    4,651,352,988x = 7,149,465,900 × 7,149,465,900
  4. Step 4: Simplify right side
    4,651,352,988x = 51,114,862,655,262,810,112
  5. Step 5: Solve for x
    x = 51,114,862,655,262,810,112/4,651,352,988
  6. Step 6: Final answer
    x = 10,989,246,094.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.