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Finding the Third Proportional to 6,908,000,133 and 10,611,533,259

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Solution

The third proportional to 6,908,000,133 and 10,611,533,259 is: 16,300,613,193.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,908,000,133 : 10,611,533,259 = 10,611,533,259 : x
  2. Step 2: Convert to fraction form
    6,908,000,133/10,611,533,259 = 10,611,533,259/x
  3. Step 3: Cross multiply
    6,908,000,133x = 10,611,533,259 × 10,611,533,259
  4. Step 4: Simplify right side
    6,908,000,133x = 112,604,638,106,863,157,248
  5. Step 5: Solve for x
    x = 112,604,638,106,863,157,248/6,908,000,133
  6. Step 6: Final answer
    x = 16,300,613,193.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.