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Finding the Third Proportional to 312,307,707 and 678,378,070.50

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Solution

The third proportional to 312,307,707 and 678,378,070.50 is: 1,473,536,503.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,307,707 : 678,378,070.50 = 678,378,070.50 : x
  2. Step 2: Convert to fraction form
    312,307,707/678,378,070.50 = 678,378,070.50/x
  3. Step 3: Cross multiply
    312,307,707x = 678,378,070.50 × 678,378,070.50
  4. Step 4: Simplify right side
    312,307,707x = 460,196,806,535,302,976
  5. Step 5: Solve for x
    x = 460,196,806,535,302,976/312,307,707
  6. Step 6: Final answer
    x = 1,473,536,503.33

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.