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Finding the Third Proportional to 3,413,262,600,873 and 4,931,575,029,068.80

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Solution

The third proportional to 3,413,262,600,873 and 4,931,575,029,068.80 is: 7,125,274,293,608.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413,262,600,873 : 4,931,575,029,068.80 = 4,931,575,029,068.80 : x
  2. Step 2: Convert to fraction form
    3,413,262,600,873/4,931,575,029,068.80 = 4,931,575,029,068.80/x
  3. Step 3: Cross multiply
    3,413,262,600,873x = 4,931,575,029,068.80 × 4,931,575,029,068.80
  4. Step 4: Simplify right side
    3,413,262,600,873x = 24,320,432,267,334,935,713,415,168
  5. Step 5: Solve for x
    x = 24,320,432,267,334,935,713,415,168/3,413,262,600,873
  6. Step 6: Final answer
    x = 7,125,274,293,608.28

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.