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Finding the Third Proportional to 53,122,284 and 78,164,352

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Solution

The third proportional to 53,122,284 and 78,164,352 is: 115,011,356.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,122,284 : 78,164,352 = 78,164,352 : x
  2. Step 2: Convert to fraction form
    53,122,284/78,164,352 = 78,164,352/x
  3. Step 3: Cross multiply
    53,122,284x = 78,164,352 × 78,164,352
  4. Step 4: Simplify right side
    53,122,284x = 6,109,665,923,579,904
  5. Step 5: Solve for x
    x = 6,109,665,923,579,904/53,122,284
  6. Step 6: Final answer
    x = 115,011,356.13

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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.