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Finding the Third Proportional to 4,884,946 and 10,442,148

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Solution

The third proportional to 4,884,946 and 10,442,148 is: 22,321,322.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,884,946 : 10,442,148 = 10,442,148 : x
  2. Step 2: Convert to fraction form
    4,884,946/10,442,148 = 10,442,148/x
  3. Step 3: Cross multiply
    4,884,946x = 10,442,148 × 10,442,148
  4. Step 4: Simplify right side
    4,884,946x = 109,038,454,853,904
  5. Step 5: Solve for x
    x = 109,038,454,853,904/4,884,946
  6. Step 6: Final answer
    x = 22,321,322.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.