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Finding the Third Proportional to 508,723,906 and 1,101,961,809.50

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Solution

The third proportional to 508,723,906 and 1,101,961,809.50 is: 2,386,991,873.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,723,906 : 1,101,961,809.50 = 1,101,961,809.50 : x
  2. Step 2: Convert to fraction form
    508,723,906/1,101,961,809.50 = 1,101,961,809.50/x
  3. Step 3: Cross multiply
    508,723,906x = 1,101,961,809.50 × 1,101,961,809.50
  4. Step 4: Simplify right side
    508,723,906x = 1,214,319,829,596,514,304
  5. Step 5: Solve for x
    x = 1,214,319,829,596,514,304/508,723,906
  6. Step 6: Final answer
    x = 2,386,991,873.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.