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Finding the Third Proportional to 1,185,790,741 and 2,575,711,084

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Solution

The third proportional to 1,185,790,741 and 2,575,711,084 is: 5,594,821,547.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185,790,741 : 2,575,711,084 = 2,575,711,084 : x
  2. Step 2: Convert to fraction form
    1,185,790,741/2,575,711,084 = 2,575,711,084/x
  3. Step 3: Cross multiply
    1,185,790,741x = 2,575,711,084 × 2,575,711,084
  4. Step 4: Simplify right side
    1,185,790,741x = 6,634,287,588,240,454,656
  5. Step 5: Solve for x
    x = 6,634,287,588,240,454,656/1,185,790,741
  6. Step 6: Final answer
    x = 5,594,821,547.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.