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Finding the Third Proportional to 13,943,370 and 21,316,368

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Solution

The third proportional to 13,943,370 and 21,316,368 is: 32,588,071.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,943,370 : 21,316,368 = 21,316,368 : x
  2. Step 2: Convert to fraction form
    13,943,370/21,316,368 = 21,316,368/x
  3. Step 3: Cross multiply
    13,943,370x = 21,316,368 × 21,316,368
  4. Step 4: Simplify right side
    13,943,370x = 454,387,544,711,424
  5. Step 5: Solve for x
    x = 454,387,544,711,424/13,943,370
  6. Step 6: Final answer
    x = 32,588,071.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.