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Finding the Third Proportional to 6,995,328.75 and 10,292,946.75

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Solution

The third proportional to 6,995,328.75 and 10,292,946.75 is: 15,145,071.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,995,328.75 : 10,292,946.75 = 10,292,946.75 : x
  2. Step 2: Convert to fraction form
    6,995,328.75/10,292,946.75 = 10,292,946.75/x
  3. Step 3: Cross multiply
    6,995,328.75x = 10,292,946.75 × 10,292,946.75
  4. Step 4: Simplify right side
    6,995,328.75x = 105,944,752,798,335.56
  5. Step 5: Solve for x
    x = 105,944,752,798,335.56/6,995,328.75
  6. Step 6: Final answer
    x = 15,145,071.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.