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Finding the Third Proportional to 853,490,089,575 and 1,843,011,697,369.50

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Solution

The third proportional to 853,490,089,575 and 1,843,011,697,369.50 is: 3,979,767,495,990.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,490,089,575 : 1,843,011,697,369.50 = 1,843,011,697,369.50 : x
  2. Step 2: Convert to fraction form
    853,490,089,575/1,843,011,697,369.50 = 1,843,011,697,369.50/x
  3. Step 3: Cross multiply
    853,490,089,575x = 1,843,011,697,369.50 × 1,843,011,697,369.50
  4. Step 4: Simplify right side
    853,490,089,575x = 3,396,692,116,640,805,249,089,536
  5. Step 5: Solve for x
    x = 3,396,692,116,640,805,249,089,536/853,490,089,575
  6. Step 6: Final answer
    x = 3,979,767,495,990.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.