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Finding the Third Proportional to 312,844,413 and 473,293,068

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Solution

The third proportional to 312,844,413 and 473,293,068 is: 716,031,096.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,844,413 : 473,293,068 = 473,293,068 : x
  2. Step 2: Convert to fraction form
    312,844,413/473,293,068 = 473,293,068/x
  3. Step 3: Cross multiply
    312,844,413x = 473,293,068 × 473,293,068
  4. Step 4: Simplify right side
    312,844,413x = 224,006,328,216,852,608
  5. Step 5: Solve for x
    x = 224,006,328,216,852,608/312,844,413
  6. Step 6: Final answer
    x = 716,031,096.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.