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Finding the Third Proportional to 4,688,406,136,059 and 10,155,699,641,892

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Solution

The third proportional to 4,688,406,136,059 and 10,155,699,641,892 is: 21,998,570,990,486.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,688,406,136,059 : 10,155,699,641,892 = 10,155,699,641,892 : x
  2. Step 2: Convert to fraction form
    4,688,406,136,059/10,155,699,641,892 = 10,155,699,641,892/x
  3. Step 3: Cross multiply
    4,688,406,136,059x = 10,155,699,641,892 × 10,155,699,641,892
  4. Step 4: Simplify right side
    4,688,406,136,059x = 103,138,235,216,325,303,079,010,304
  5. Step 5: Solve for x
    x = 103,138,235,216,325,303,079,010,304/4,688,406,136,059
  6. Step 6: Final answer
    x = 21,998,570,990,486.26

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