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Finding the Third Proportional to 621,113,346 and 1,329,477,057

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Solution

The third proportional to 621,113,346 and 1,329,477,057 is: 2,845,711,264.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,113,346 : 1,329,477,057 = 1,329,477,057 : x
  2. Step 2: Convert to fraction form
    621,113,346/1,329,477,057 = 1,329,477,057/x
  3. Step 3: Cross multiply
    621,113,346x = 1,329,477,057 × 1,329,477,057
  4. Step 4: Simplify right side
    621,113,346x = 1,767,509,245,089,381,376
  5. Step 5: Solve for x
    x = 1,767,509,245,089,381,376/621,113,346
  6. Step 6: Final answer
    x = 2,845,711,264.25

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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.