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Finding the Third Proportional to 2,597,602,410 and 5,671,346,148

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Solution

The third proportional to 2,597,602,410 and 5,671,346,148 is: 12,382,251,805.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597,602,410 : 5,671,346,148 = 5,671,346,148 : x
  2. Step 2: Convert to fraction form
    2,597,602,410/5,671,346,148 = 5,671,346,148/x
  3. Step 3: Cross multiply
    2,597,602,410x = 5,671,346,148 × 5,671,346,148
  4. Step 4: Simplify right side
    2,597,602,410x = 32,164,167,130,434,437,120
  5. Step 5: Solve for x
    x = 32,164,167,130,434,437,120/2,597,602,410
  6. Step 6: Final answer
    x = 12,382,251,805.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.