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Finding the Third Proportional to 9,901,345 and 15,754,986

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Solution

The third proportional to 9,901,345 and 15,754,986 is: 25,069,279.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901,345 : 15,754,986 = 15,754,986 : x
  2. Step 2: Convert to fraction form
    9,901,345/15,754,986 = 15,754,986/x
  3. Step 3: Cross multiply
    9,901,345x = 15,754,986 × 15,754,986
  4. Step 4: Simplify right side
    9,901,345x = 248,219,583,860,196
  5. Step 5: Solve for x
    x = 248,219,583,860,196/9,901,345
  6. Step 6: Final answer
    x = 25,069,279.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.