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Finding the Third Proportional to 46,301,838 and 68,114,421

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Solution

The third proportional to 46,301,838 and 68,114,421 is: 100,202,811.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,301,838 : 68,114,421 = 68,114,421 : x
  2. Step 2: Convert to fraction form
    46,301,838/68,114,421 = 68,114,421/x
  3. Step 3: Cross multiply
    46,301,838x = 68,114,421 × 68,114,421
  4. Step 4: Simplify right side
    46,301,838x = 4,639,574,348,165,241
  5. Step 5: Solve for x
    x = 4,639,574,348,165,241/46,301,838
  6. Step 6: Final answer
    x = 100,202,811.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.