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Finding the Third Proportional to 314,549,318,310 and 693,213,804,948

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Solution

The third proportional to 314,549,318,310 and 693,213,804,948 is: 1,527,726,659,693.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,549,318,310 : 693,213,804,948 = 693,213,804,948 : x
  2. Step 2: Convert to fraction form
    314,549,318,310/693,213,804,948 = 693,213,804,948/x
  3. Step 3: Cross multiply
    314,549,318,310x = 693,213,804,948 × 693,213,804,948
  4. Step 4: Simplify right side
    314,549,318,310x = 480,545,379,370,483,782,254,592
  5. Step 5: Solve for x
    x = 480,545,379,370,483,782,254,592/314,549,318,310
  6. Step 6: Final answer
    x = 1,527,726,659,693.12

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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.