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Finding the Third Proportional to 1,119,572,333 and 1,657,328,301

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Solution

The third proportional to 1,119,572,333 and 1,657,328,301 is: 2,453,380,649.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119,572,333 : 1,657,328,301 = 1,657,328,301 : x
  2. Step 2: Convert to fraction form
    1,119,572,333/1,657,328,301 = 1,657,328,301/x
  3. Step 3: Cross multiply
    1,119,572,333x = 1,657,328,301 × 1,657,328,301
  4. Step 4: Simplify right side
    1,119,572,333x = 2,746,737,097,295,546,368
  5. Step 5: Solve for x
    x = 2,746,737,097,295,546,368/1,119,572,333
  6. Step 6: Final answer
    x = 2,453,380,649.32

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.