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Finding the Third Proportional to 508,315,572 and 1,109,850,480

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Solution

The third proportional to 508,315,572 and 1,109,850,480 is: 2,423,235,005.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,315,572 : 1,109,850,480 = 1,109,850,480 : x
  2. Step 2: Convert to fraction form
    508,315,572/1,109,850,480 = 1,109,850,480/x
  3. Step 3: Cross multiply
    508,315,572x = 1,109,850,480 × 1,109,850,480
  4. Step 4: Simplify right side
    508,315,572x = 1,231,768,087,956,230,400
  5. Step 5: Solve for x
    x = 1,231,768,087,956,230,400/508,315,572
  6. Step 6: Final answer
    x = 2,423,235,005.59

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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.