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Finding the Third Proportional to 5,824,640 and 9,117,264

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Solution

The third proportional to 5,824,640 and 9,117,264 is: 14,271,182.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824,640 : 9,117,264 = 9,117,264 : x
  2. Step 2: Convert to fraction form
    5,824,640/9,117,264 = 9,117,264/x
  3. Step 3: Cross multiply
    5,824,640x = 9,117,264 × 9,117,264
  4. Step 4: Simplify right side
    5,824,640x = 83,124,502,845,696
  5. Step 5: Solve for x
    x = 83,124,502,845,696/5,824,640
  6. Step 6: Final answer
    x = 14,271,182.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.