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Finding the Third Proportional to 9,812,318,376 and 21,400,563,112

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Solution

The third proportional to 9,812,318,376 and 21,400,563,112 is: 46,674,402,925.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812,318,376 : 21,400,563,112 = 21,400,563,112 : x
  2. Step 2: Convert to fraction form
    9,812,318,376/21,400,563,112 = 21,400,563,112/x
  3. Step 3: Cross multiply
    9,812,318,376x = 21,400,563,112 × 21,400,563,112
  4. Step 4: Simplify right side
    9,812,318,376x = 457,984,101,510,695,092,224
  5. Step 5: Solve for x
    x = 457,984,101,510,695,092,224/9,812,318,376
  6. Step 6: Final answer
    x = 46,674,402,925.09

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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.