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Finding the Third Proportional to 1,160,865,410 and 1,775,060,316

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Solution

The third proportional to 1,160,865,410 and 1,775,060,316 is: 2,714,215,703.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160,865,410 : 1,775,060,316 = 1,775,060,316 : x
  2. Step 2: Convert to fraction form
    1,160,865,410/1,775,060,316 = 1,775,060,316/x
  3. Step 3: Cross multiply
    1,160,865,410x = 1,775,060,316 × 1,775,060,316
  4. Step 4: Simplify right side
    1,160,865,410x = 3,150,839,125,438,020,096
  5. Step 5: Solve for x
    x = 3,150,839,125,438,020,096/1,160,865,410
  6. Step 6: Final answer
    x = 2,714,215,703.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.