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Finding the Third Proportional to 30,518,672 and 42,778,176

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Solution

The third proportional to 30,518,672 and 42,778,176 is: 59,962,384.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,518,672 : 42,778,176 = 42,778,176 : x
  2. Step 2: Convert to fraction form
    30,518,672/42,778,176 = 42,778,176/x
  3. Step 3: Cross multiply
    30,518,672x = 42,778,176 × 42,778,176
  4. Step 4: Simplify right side
    30,518,672x = 1,829,972,341,886,976
  5. Step 5: Solve for x
    x = 1,829,972,341,886,976/30,518,672
  6. Step 6: Final answer
    x = 59,962,384.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.