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Finding the Third Proportional to 306,023,352 and 660,407,106

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Solution

The third proportional to 306,023,352 and 660,407,106 is: 1,425,177,336.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,023,352 : 660,407,106 = 660,407,106 : x
  2. Step 2: Convert to fraction form
    306,023,352/660,407,106 = 660,407,106/x
  3. Step 3: Cross multiply
    306,023,352x = 660,407,106 × 660,407,106
  4. Step 4: Simplify right side
    306,023,352x = 436,137,545,655,295,232
  5. Step 5: Solve for x
    x = 436,137,545,655,295,232/306,023,352
  6. Step 6: Final answer
    x = 1,425,177,336.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.