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Finding the Third Proportional to 9,118,297 and 19,749,729

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Solution

The third proportional to 9,118,297 and 19,749,729 is: 42,776,825.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,118,297 : 19,749,729 = 19,749,729 : x
  2. Step 2: Convert to fraction form
    9,118,297/19,749,729 = 19,749,729/x
  3. Step 3: Cross multiply
    9,118,297x = 19,749,729 × 19,749,729
  4. Step 4: Simplify right side
    9,118,297x = 390,051,795,573,441
  5. Step 5: Solve for x
    x = 390,051,795,573,441/9,118,297
  6. Step 6: Final answer
    x = 42,776,825.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.