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Finding the Third Proportional to 1,225,477,648,421 and 2,681,809,480,755

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Solution

The third proportional to 1,225,477,648,421 and 2,681,809,480,755 is: 5,868,815,396,457.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225,477,648,421 : 2,681,809,480,755 = 2,681,809,480,755 : x
  2. Step 2: Convert to fraction form
    1,225,477,648,421/2,681,809,480,755 = 2,681,809,480,755/x
  3. Step 3: Cross multiply
    1,225,477,648,421x = 2,681,809,480,755 × 2,681,809,480,755
  4. Step 4: Simplify right side
    1,225,477,648,421x = 7,192,102,091,067,402,475,274,240
  5. Step 5: Solve for x
    x = 7,192,102,091,067,402,475,274,240/1,225,477,648,421
  6. Step 6: Final answer
    x = 5,868,815,396,457.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.