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Finding the Third Proportional to 6,909,418,490 and 14,919,807,028

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Solution

The third proportional to 6,909,418,490 and 14,919,807,028 is: 32,216,986,433.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909,418,490 : 14,919,807,028 = 14,919,807,028 : x
  2. Step 2: Convert to fraction form
    6,909,418,490/14,919,807,028 = 14,919,807,028/x
  3. Step 3: Cross multiply
    6,909,418,490x = 14,919,807,028 × 14,919,807,028
  4. Step 4: Simplify right side
    6,909,418,490x = 222,600,641,752,758,190,080
  5. Step 5: Solve for x
    x = 222,600,641,752,758,190,080/6,909,418,490
  6. Step 6: Final answer
    x = 32,216,986,433.07

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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.