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Finding the Third Proportional to 803,346,845,216 and 1,747,902,760,516

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Solution

The third proportional to 803,346,845,216 and 1,747,902,760,516 is: 3,803,044,822,312.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,346,845,216 : 1,747,902,760,516 = 1,747,902,760,516 : x
  2. Step 2: Convert to fraction form
    803,346,845,216/1,747,902,760,516 = 1,747,902,760,516/x
  3. Step 3: Cross multiply
    803,346,845,216x = 1,747,902,760,516 × 1,747,902,760,516
  4. Step 4: Simplify right side
    803,346,845,216x = 3,055,164,060,219,453,200,138,240
  5. Step 5: Solve for x
    x = 3,055,164,060,219,453,200,138,240/803,346,845,216
  6. Step 6: Final answer
    x = 3,803,044,822,312.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.