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Finding the Third Proportional to 9,075,092,098 and 19,699,007,876

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Solution

The third proportional to 9,075,092,098 and 19,699,007,876 is: 42,759,997,045.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,075,092,098 : 19,699,007,876 = 19,699,007,876 : x
  2. Step 2: Convert to fraction form
    9,075,092,098/19,699,007,876 = 19,699,007,876/x
  3. Step 3: Cross multiply
    9,075,092,098x = 19,699,007,876 × 19,699,007,876
  4. Step 4: Simplify right side
    9,075,092,098x = 388,050,911,298,710,011,904
  5. Step 5: Solve for x
    x = 388,050,911,298,710,011,904/9,075,092,098
  6. Step 6: Final answer
    x = 42,759,997,045.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.