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Finding the Third Proportional to 30,096,730 and 46,116,548

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Solution

The third proportional to 30,096,730 and 46,116,548 is: 70,663,357.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,096,730 : 46,116,548 = 46,116,548 : x
  2. Step 2: Convert to fraction form
    30,096,730/46,116,548 = 46,116,548/x
  3. Step 3: Cross multiply
    30,096,730x = 46,116,548 × 46,116,548
  4. Step 4: Simplify right side
    30,096,730x = 2,126,735,999,436,304
  5. Step 5: Solve for x
    x = 2,126,735,999,436,304/30,096,730
  6. Step 6: Final answer
    x = 70,663,357.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.