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Finding the Third Proportional to 851,030,640 and 1,863,484,560

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Solution

The third proportional to 851,030,640 and 1,863,484,560 is: 4,080,434,407.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,030,640 : 1,863,484,560 = 1,863,484,560 : x
  2. Step 2: Convert to fraction form
    851,030,640/1,863,484,560 = 1,863,484,560/x
  3. Step 3: Cross multiply
    851,030,640x = 1,863,484,560 × 1,863,484,560
  4. Step 4: Simplify right side
    851,030,640x = 3,472,574,705,358,393,344
  5. Step 5: Solve for x
    x = 3,472,574,705,358,393,344/851,030,640
  6. Step 6: Final answer
    x = 4,080,434,407.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.