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Finding the Third Proportional to 213,353,946 and 465,473,334

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Solution

The third proportional to 213,353,946 and 465,473,334 is: 1,015,521,056.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,353,946 : 465,473,334 = 465,473,334 : x
  2. Step 2: Convert to fraction form
    213,353,946/465,473,334 = 465,473,334/x
  3. Step 3: Cross multiply
    213,353,946x = 465,473,334 × 465,473,334
  4. Step 4: Simplify right side
    213,353,946x = 216,665,424,665,075,552
  5. Step 5: Solve for x
    x = 216,665,424,665,075,552/213,353,946
  6. Step 6: Final answer
    x = 1,015,521,056.57

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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.