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Finding the Third Proportional to 975,206,088 and 2,082,670,272

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Solution

The third proportional to 975,206,088 and 2,082,670,272 is: 4,447,793,666.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,206,088 : 2,082,670,272 = 2,082,670,272 : x
  2. Step 2: Convert to fraction form
    975,206,088/2,082,670,272 = 2,082,670,272/x
  3. Step 3: Cross multiply
    975,206,088x = 2,082,670,272 × 2,082,670,272
  4. Step 4: Simplify right side
    975,206,088x = 4,337,515,461,872,553,984
  5. Step 5: Solve for x
    x = 4,337,515,461,872,553,984/975,206,088
  6. Step 6: Final answer
    x = 4,447,793,666.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.