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Finding the Third Proportional to 10,707,458.25 and 16,312,136.25

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Solution

The third proportional to 10,707,458.25 and 16,312,136.25 is: 24,850,509.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707,458.25 : 16,312,136.25 = 16,312,136.25 : x
  2. Step 2: Convert to fraction form
    10,707,458.25/16,312,136.25 = 16,312,136.25/x
  3. Step 3: Cross multiply
    10,707,458.25x = 16,312,136.25 × 16,312,136.25
  4. Step 4: Simplify right side
    10,707,458.25x = 266,085,789,038,564.06
  5. Step 5: Solve for x
    x = 266,085,789,038,564.06/10,707,458.25
  6. Step 6: Final answer
    x = 24,850,509.13

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1.5x scale

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.