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Finding the Third Proportional to 907,126,924,896 and 1,943,643,118,224

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Solution

The third proportional to 907,126,924,896 and 1,943,643,118,224 is: 4,164,520,385,559.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    907,126,924,896 : 1,943,643,118,224 = 1,943,643,118,224 : x
  2. Step 2: Convert to fraction form
    907,126,924,896/1,943,643,118,224 = 1,943,643,118,224/x
  3. Step 3: Cross multiply
    907,126,924,896x = 1,943,643,118,224 × 1,943,643,118,224
  4. Step 4: Simplify right side
    907,126,924,896x = 3,777,748,571,019,513,822,183,424
  5. Step 5: Solve for x
    x = 3,777,748,571,019,513,822,183,424/907,126,924,896
  6. Step 6: Final answer
    x = 4,164,520,385,559.74

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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.