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Finding the Third Proportional to 983,186,566 and 2,106,611,140

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Solution

The third proportional to 983,186,566 and 2,106,611,140 is: 4,513,701,314.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,186,566 : 2,106,611,140 = 2,106,611,140 : x
  2. Step 2: Convert to fraction form
    983,186,566/2,106,611,140 = 2,106,611,140/x
  3. Step 3: Cross multiply
    983,186,566x = 2,106,611,140 × 2,106,611,140
  4. Step 4: Simplify right side
    983,186,566x = 4,437,810,495,172,099,584
  5. Step 5: Solve for x
    x = 4,437,810,495,172,099,584/983,186,566
  6. Step 6: Final answer
    x = 4,513,701,314.32

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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.