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Finding the Third Proportional to 798,537,106,896 and 1,775,615,714,964

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Solution

The third proportional to 798,537,106,896 and 1,775,615,714,964 is: 3,948,233,763,966.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,537,106,896 : 1,775,615,714,964 = 1,775,615,714,964 : x
  2. Step 2: Convert to fraction form
    798,537,106,896/1,775,615,714,964 = 1,775,615,714,964/x
  3. Step 3: Cross multiply
    798,537,106,896x = 1,775,615,714,964 × 1,775,615,714,964
  4. Step 4: Simplify right side
    798,537,106,896x = 3,152,811,167,227,116,909,494,272
  5. Step 5: Solve for x
    x = 3,152,811,167,227,116,909,494,272/798,537,106,896
  6. Step 6: Final answer
    x = 3,948,233,763,966.76

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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.