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Finding the Third Proportional to 5,141,756,628 and 7,240,726,356

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Solution

The third proportional to 5,141,756,628 and 7,240,726,356 is: 10,196,538,256.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141,756,628 : 7,240,726,356 = 7,240,726,356 : x
  2. Step 2: Convert to fraction form
    5,141,756,628/7,240,726,356 = 7,240,726,356/x
  3. Step 3: Cross multiply
    5,141,756,628x = 7,240,726,356 × 7,240,726,356
  4. Step 4: Simplify right side
    5,141,756,628x = 52,428,118,162,473,041,920
  5. Step 5: Solve for x
    x = 52,428,118,162,473,041,920/5,141,756,628
  6. Step 6: Final answer
    x = 10,196,538,256.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.