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Finding the Third Proportional to 46,007,479,698.95 and 100,681,760,071.78

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Solution

The third proportional to 46,007,479,698.95 and 100,681,760,071.78 is: 220,329,756,758.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,007,479,698.95 : 100,681,760,071.78 = 100,681,760,071.78 : x
  2. Step 2: Convert to fraction form
    46,007,479,698.95/100,681,760,071.78 = 100,681,760,071.78/x
  3. Step 3: Cross multiply
    46,007,479,698.95x = 100,681,760,071.78 × 100,681,760,071.78
  4. Step 4: Simplify right side
    46,007,479,698.95x = 10,136,816,811,151,472,984,064
  5. Step 5: Solve for x
    x = 10,136,816,811,151,472,984,064/46,007,479,698.95
  6. Step 6: Final answer
    x = 220,329,756,758.72

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1.5x scale

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.