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Finding the Third Proportional to 907,126,924,891 and 1,943,643,118,209

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Solution

The third proportional to 907,126,924,891 and 1,943,643,118,209 is: 4,164,520,385,518.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    907,126,924,891 : 1,943,643,118,209 = 1,943,643,118,209 : x
  2. Step 2: Convert to fraction form
    907,126,924,891/1,943,643,118,209 = 1,943,643,118,209/x
  3. Step 3: Cross multiply
    907,126,924,891x = 1,943,643,118,209 × 1,943,643,118,209
  4. Step 4: Simplify right side
    907,126,924,891x = 3,777,748,570,961,204,809,302,016
  5. Step 5: Solve for x
    x = 3,777,748,570,961,204,809,302,016/907,126,924,891
  6. Step 6: Final answer
    x = 4,164,520,385,518.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.