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Finding the Third Proportional to 907,126,924,893 and 1,943,643,118,212

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Solution

The third proportional to 907,126,924,893 and 1,943,643,118,212 is: 4,164,520,385,522.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    907,126,924,893 : 1,943,643,118,212 = 1,943,643,118,212 : x
  2. Step 2: Convert to fraction form
    907,126,924,893/1,943,643,118,212 = 1,943,643,118,212/x
  3. Step 3: Cross multiply
    907,126,924,893x = 1,943,643,118,212 × 1,943,643,118,212
  4. Step 4: Simplify right side
    907,126,924,893x = 3,777,748,570,972,866,719,252,480
  5. Step 5: Solve for x
    x = 3,777,748,570,972,866,719,252,480/907,126,924,893
  6. Step 6: Final answer
    x = 4,164,520,385,522.09

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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.