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Finding the Third Proportional to 1,026,502,866 and 2,107,423,765

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Solution

The third proportional to 1,026,502,866 and 2,107,423,765 is: 4,326,568,461.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026,502,866 : 2,107,423,765 = 2,107,423,765 : x
  2. Step 2: Convert to fraction form
    1,026,502,866/2,107,423,765 = 2,107,423,765/x
  3. Step 3: Cross multiply
    1,026,502,866x = 2,107,423,765 × 2,107,423,765
  4. Step 4: Simplify right side
    1,026,502,866x = 4,441,234,925,286,775,296
  5. Step 5: Solve for x
    x = 4,441,234,925,286,775,296/1,026,502,866
  6. Step 6: Final answer
    x = 4,326,568,461.12

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.