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Finding the Third Proportional to 624,834,785 and 1,343,705,103

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Solution

The third proportional to 624,834,785 and 1,343,705,103 is: 2,889,633,303.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,834,785 : 1,343,705,103 = 1,343,705,103 : x
  2. Step 2: Convert to fraction form
    624,834,785/1,343,705,103 = 1,343,705,103/x
  3. Step 3: Cross multiply
    624,834,785x = 1,343,705,103 × 1,343,705,103
  4. Step 4: Simplify right side
    624,834,785x = 1,805,543,403,828,240,640
  5. Step 5: Solve for x
    x = 1,805,543,403,828,240,640/624,834,785
  6. Step 6: Final answer
    x = 2,889,633,303.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.