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Finding the Third Proportional to 315,107,738 and 506,290,432

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Solution

The third proportional to 315,107,738 and 506,290,432 is: 813,467,809.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,107,738 : 506,290,432 = 506,290,432 : x
  2. Step 2: Convert to fraction form
    315,107,738/506,290,432 = 506,290,432/x
  3. Step 3: Cross multiply
    315,107,738x = 506,290,432 × 506,290,432
  4. Step 4: Simplify right side
    315,107,738x = 256,330,001,534,746,624
  5. Step 5: Solve for x
    x = 256,330,001,534,746,624/315,107,738
  6. Step 6: Final answer
    x = 813,467,809.97

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.