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Finding the Third Proportional to 983,185,933.50 and 2,106,609,808.50

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Solution

The third proportional to 983,185,933.50 and 2,106,609,808.50 is: 4,513,698,512.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,185,933.50 : 2,106,609,808.50 = 2,106,609,808.50 : x
  2. Step 2: Convert to fraction form
    983,185,933.50/2,106,609,808.50 = 2,106,609,808.50/x
  3. Step 3: Cross multiply
    983,185,933.50x = 2,106,609,808.50 × 2,106,609,808.50
  4. Step 4: Simplify right side
    983,185,933.50x = 4,437,804,885,268,406,784
  5. Step 5: Solve for x
    x = 4,437,804,885,268,406,784/983,185,933.50
  6. Step 6: Final answer
    x = 4,513,698,512.21

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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.