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Finding the Third Proportional to 7,208,352 and 10,077,696

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Solution

The third proportional to 7,208,352 and 10,077,696 is: 14,089,206.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,208,352 : 10,077,696 = 10,077,696 : x
  2. Step 2: Convert to fraction form
    7,208,352/10,077,696 = 10,077,696/x
  3. Step 3: Cross multiply
    7,208,352x = 10,077,696 × 10,077,696
  4. Step 4: Simplify right side
    7,208,352x = 101,559,956,668,416
  5. Step 5: Solve for x
    x = 101,559,956,668,416/7,208,352
  6. Step 6: Final answer
    x = 14,089,206.06

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.