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Finding the Third Proportional to 2,898,802,594,948.50 and 6,306,548,401,876.80

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Solution

The third proportional to 2,898,802,594,948.50 and 6,306,548,401,876.80 is: 13,720,338,464,758.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898,802,594,948.50 : 6,306,548,401,876.80 = 6,306,548,401,876.80 : x
  2. Step 2: Convert to fraction form
    2,898,802,594,948.50/6,306,548,401,876.80 = 6,306,548,401,876.80/x
  3. Step 3: Cross multiply
    2,898,802,594,948.50x = 6,306,548,401,876.80 × 6,306,548,401,876.80
  4. Step 4: Simplify right side
    2,898,802,594,948.50x = 39,772,552,745,214,819,923,132,416
  5. Step 5: Solve for x
    x = 39,772,552,745,214,819,923,132,416/2,898,802,594,948.50
  6. Step 6: Final answer
    x = 13,720,338,464,758.90

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.