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Finding the Third Proportional to 985,883,083.59 and 1,535,357,071.83

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Solution

The third proportional to 985,883,083.59 and 1,535,357,071.83 is: 2,391,075,957.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,883,083.59 : 1,535,357,071.83 = 1,535,357,071.83 : x
  2. Step 2: Convert to fraction form
    985,883,083.59/1,535,357,071.83 = 1,535,357,071.83/x
  3. Step 3: Cross multiply
    985,883,083.59x = 1,535,357,071.83 × 1,535,357,071.83
  4. Step 4: Simplify right side
    985,883,083.59x = 2,357,321,338,012,865,024
  5. Step 5: Solve for x
    x = 2,357,321,338,012,865,024/985,883,083.59
  6. Step 6: Final answer
    x = 2,391,075,957.42

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.