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Finding the Third Proportional to 1,211,829,627 and 1,842,178,438.50

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Solution

The third proportional to 1,211,829,627 and 1,842,178,438.50 is: 2,800,411,314.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211,829,627 : 1,842,178,438.50 = 1,842,178,438.50 : x
  2. Step 2: Convert to fraction form
    1,211,829,627/1,842,178,438.50 = 1,842,178,438.50/x
  3. Step 3: Cross multiply
    1,211,829,627x = 1,842,178,438.50 × 1,842,178,438.50
  4. Step 4: Simplify right side
    1,211,829,627x = 3,393,621,399,274,298,368
  5. Step 5: Solve for x
    x = 3,393,621,399,274,298,368/1,211,829,627
  6. Step 6: Final answer
    x = 2,800,411,314.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.