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Finding the Third Proportional to 1,218,400,319 and 1,883,491,557.50

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Solution

The third proportional to 1,218,400,319 and 1,883,491,557.50 is: 2,911,637,818.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218,400,319 : 1,883,491,557.50 = 1,883,491,557.50 : x
  2. Step 2: Convert to fraction form
    1,218,400,319/1,883,491,557.50 = 1,883,491,557.50/x
  3. Step 3: Cross multiply
    1,218,400,319x = 1,883,491,557.50 × 1,883,491,557.50
  4. Step 4: Simplify right side
    1,218,400,319x = 3,547,540,447,173,775,872
  5. Step 5: Solve for x
    x = 3,547,540,447,173,775,872/1,218,400,319
  6. Step 6: Final answer
    x = 2,911,637,818.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.