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Finding the Third Proportional to 53,403,376 and 109,637,826

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Solution

The third proportional to 53,403,376 and 109,637,826 is: 225,087,883.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,403,376 : 109,637,826 = 109,637,826 : x
  2. Step 2: Convert to fraction form
    53,403,376/109,637,826 = 109,637,826/x
  3. Step 3: Cross multiply
    53,403,376x = 109,637,826 × 109,637,826
  4. Step 4: Simplify right side
    53,403,376x = 12,020,452,890,006,276
  5. Step 5: Solve for x
    x = 12,020,452,890,006,276/53,403,376
  6. Step 6: Final answer
    x = 225,087,883.77

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.