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Finding the Third Proportional to 147,660,724 and 318,213,346

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Solution

The third proportional to 147,660,724 and 318,213,346 is: 685,759,427.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,660,724 : 318,213,346 = 318,213,346 : x
  2. Step 2: Convert to fraction form
    147,660,724/318,213,346 = 318,213,346/x
  3. Step 3: Cross multiply
    147,660,724x = 318,213,346 × 318,213,346
  4. Step 4: Simplify right side
    147,660,724x = 101,259,733,572,515,712
  5. Step 5: Solve for x
    x = 101,259,733,572,515,712/147,660,724
  6. Step 6: Final answer
    x = 685,759,427.62

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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.