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Finding the Third Proportional to 323,037,400 and 710,670,032

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Solution

The third proportional to 323,037,400 and 710,670,032 is: 1,563,447,125.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,037,400 : 710,670,032 = 710,670,032 : x
  2. Step 2: Convert to fraction form
    323,037,400/710,670,032 = 710,670,032/x
  3. Step 3: Cross multiply
    323,037,400x = 710,670,032 × 710,670,032
  4. Step 4: Simplify right side
    323,037,400x = 505,051,894,382,881,024
  5. Step 5: Solve for x
    x = 505,051,894,382,881,024/323,037,400
  6. Step 6: Final answer
    x = 1,563,447,125.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.