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Finding the Third Proportional to 9,010,332 and 13,963,320

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Solution

The third proportional to 9,010,332 and 13,963,320 is: 21,638,970.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,010,332 : 13,963,320 = 13,963,320 : x
  2. Step 2: Convert to fraction form
    9,010,332/13,963,320 = 13,963,320/x
  3. Step 3: Cross multiply
    9,010,332x = 13,963,320 × 13,963,320
  4. Step 4: Simplify right side
    9,010,332x = 194,974,305,422,400
  5. Step 5: Solve for x
    x = 194,974,305,422,400/9,010,332
  6. Step 6: Final answer
    x = 21,638,970.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.