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Finding the Third Proportional to 907,126,924,902 and 1,943,643,118,228

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Solution

The third proportional to 907,126,924,902 and 1,943,643,118,228 is: 4,164,520,385,549.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    907,126,924,902 : 1,943,643,118,228 = 1,943,643,118,228 : x
  2. Step 2: Convert to fraction form
    907,126,924,902/1,943,643,118,228 = 1,943,643,118,228/x
  3. Step 3: Cross multiply
    907,126,924,902x = 1,943,643,118,228 × 1,943,643,118,228
  4. Step 4: Simplify right side
    907,126,924,902x = 3,777,748,571,035,063,214,407,680
  5. Step 5: Solve for x
    x = 3,777,748,571,035,063,214,407,680/907,126,924,902
  6. Step 6: Final answer
    x = 4,164,520,385,549.34

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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.