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Finding the Third Proportional to 9,861,706,617 and 21,119,745,666

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Solution

The third proportional to 9,861,706,617 and 21,119,745,666 is: 45,229,864,801.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,861,706,617 : 21,119,745,666 = 21,119,745,666 : x
  2. Step 2: Convert to fraction form
    9,861,706,617/21,119,745,666 = 21,119,745,666/x
  3. Step 3: Cross multiply
    9,861,706,617x = 21,119,745,666 × 21,119,745,666
  4. Step 4: Simplify right side
    9,861,706,617x = 446,043,656,996,525,768,704
  5. Step 5: Solve for x
    x = 446,043,656,996,525,768,704/9,861,706,617
  6. Step 6: Final answer
    x = 45,229,864,801.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.