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Finding the Third Proportional to 46,948,032 and 99,548,352

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Solution

The third proportional to 46,948,032 and 99,548,352 is: 211,081,784.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,948,032 : 99,548,352 = 99,548,352 : x
  2. Step 2: Convert to fraction form
    46,948,032/99,548,352 = 99,548,352/x
  3. Step 3: Cross multiply
    46,948,032x = 99,548,352 × 99,548,352
  4. Step 4: Simplify right side
    46,948,032x = 9,909,874,385,915,904
  5. Step 5: Solve for x
    x = 9,909,874,385,915,904/46,948,032
  6. Step 6: Final answer
    x = 211,081,784.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.