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Finding the Third Proportional to 66,945,570,430.50 and 145,658,563,368.75

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Solution

The third proportional to 66,945,570,430.50 and 145,658,563,368.75 is: 316,920,401,846.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,945,570,430.50 : 145,658,563,368.75 = 145,658,563,368.75 : x
  2. Step 2: Convert to fraction form
    66,945,570,430.50/145,658,563,368.75 = 145,658,563,368.75/x
  3. Step 3: Cross multiply
    66,945,570,430.50x = 145,658,563,368.75 × 145,658,563,368.75
  4. Step 4: Simplify right side
    66,945,570,430.50x = 21,216,417,082,648,159,059,968
  5. Step 5: Solve for x
    x = 21,216,417,082,648,159,059,968/66,945,570,430.50
  6. Step 6: Final answer
    x = 316,920,401,846.07

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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.