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Finding the Third Proportional to 6,461,988 and 10,137,798

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Solution

The third proportional to 6,461,988 and 10,137,798 is: 15,904,540.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461,988 : 10,137,798 = 10,137,798 : x
  2. Step 2: Convert to fraction form
    6,461,988/10,137,798 = 10,137,798/x
  3. Step 3: Cross multiply
    6,461,988x = 10,137,798 × 10,137,798
  4. Step 4: Simplify right side
    6,461,988x = 102,774,948,288,804
  5. Step 5: Solve for x
    x = 102,774,948,288,804/6,461,988
  6. Step 6: Final answer
    x = 15,904,540.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.