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Finding the Third Proportional to 6,330,650,905.13 and 13,480,075,244.25

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Solution

The third proportional to 6,330,650,905.13 and 13,480,075,244.25 is: 28,703,593,250.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,330,650,905.13 : 13,480,075,244.25 = 13,480,075,244.25 : x
  2. Step 2: Convert to fraction form
    6,330,650,905.13/13,480,075,244.25 = 13,480,075,244.25/x
  3. Step 3: Cross multiply
    6,330,650,905.13x = 13,480,075,244.25 × 13,480,075,244.25
  4. Step 4: Simplify right side
    6,330,650,905.13x = 181,712,428,590,641,709,056
  5. Step 5: Solve for x
    x = 181,712,428,590,641,709,056/6,330,650,905.13
  6. Step 6: Final answer
    x = 28,703,593,250.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.