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Finding the Third Proportional to 35,297,575,364 and 75,630,813,294

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Solution

The third proportional to 35,297,575,364 and 75,630,813,294 is: 162,051,355,100.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,297,575,364 : 75,630,813,294 = 75,630,813,294 : x
  2. Step 2: Convert to fraction form
    35,297,575,364/75,630,813,294 = 75,630,813,294/x
  3. Step 3: Cross multiply
    35,297,575,364x = 75,630,813,294 × 75,630,813,294
  4. Step 4: Simplify right side
    35,297,575,364x = 5,720,019,919,511,887,020,032
  5. Step 5: Solve for x
    x = 5,720,019,919,511,887,020,032/35,297,575,364
  6. Step 6: Final answer
    x = 162,051,355,100.89

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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.