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Finding the Third Proportional to 29,385,666 and 46,332,210

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Solution

The third proportional to 29,385,666 and 46,332,210 is: 73,051,728.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,385,666 : 46,332,210 = 46,332,210 : x
  2. Step 2: Convert to fraction form
    29,385,666/46,332,210 = 46,332,210/x
  3. Step 3: Cross multiply
    29,385,666x = 46,332,210 × 46,332,210
  4. Step 4: Simplify right side
    29,385,666x = 2,146,673,683,484,100
  5. Step 5: Solve for x
    x = 2,146,673,683,484,100/29,385,666
  6. Step 6: Final answer
    x = 73,051,728.13

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.