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Finding the Third Proportional to 727,985,516,769 and 1,582,680,803,823

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Solution

The third proportional to 727,985,516,769 and 1,582,680,803,823 is: 3,440,835,660,999.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,985,516,769 : 1,582,680,803,823 = 1,582,680,803,823 : x
  2. Step 2: Convert to fraction form
    727,985,516,769/1,582,680,803,823 = 1,582,680,803,823/x
  3. Step 3: Cross multiply
    727,985,516,769x = 1,582,680,803,823 × 1,582,680,803,823
  4. Step 4: Simplify right side
    727,985,516,769x = 2,504,878,526,789,817,276,039,168
  5. Step 5: Solve for x
    x = 2,504,878,526,789,817,276,039,168/727,985,516,769
  6. Step 6: Final answer
    x = 3,440,835,660,999.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.