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Finding the Third Proportional to 319,899,805,008 and 666,277,528,795.50

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Solution

The third proportional to 319,899,805,008 and 666,277,528,795.50 is: 1,387,702,456,920.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,899,805,008 : 666,277,528,795.50 = 666,277,528,795.50 : x
  2. Step 2: Convert to fraction form
    319,899,805,008/666,277,528,795.50 = 666,277,528,795.50/x
  3. Step 3: Cross multiply
    319,899,805,008x = 666,277,528,795.50 × 666,277,528,795.50
  4. Step 4: Simplify right side
    319,899,805,008x = 443,925,745,377,838,324,776,960
  5. Step 5: Solve for x
    x = 443,925,745,377,838,324,776,960/319,899,805,008
  6. Step 6: Final answer
    x = 1,387,702,456,920.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.