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Finding the Third Proportional to 149,725,707,525 and 332,927,946,522

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Solution

The third proportional to 149,725,707,525 and 332,927,946,522 is: 740,293,830,682.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,725,707,525 : 332,927,946,522 = 332,927,946,522 : x
  2. Step 2: Convert to fraction form
    149,725,707,525/332,927,946,522 = 332,927,946,522/x
  3. Step 3: Cross multiply
    149,725,707,525x = 332,927,946,522 × 332,927,946,522
  4. Step 4: Simplify right side
    149,725,707,525x = 110,841,017,575,355,690,516,480
  5. Step 5: Solve for x
    x = 110,841,017,575,355,690,516,480/149,725,707,525
  6. Step 6: Final answer
    x = 740,293,830,682.67

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.