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Finding the Third Proportional to 9,774,642 and 21,472,386

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Solution

The third proportional to 9,774,642 and 21,472,386 is: 47,169,334.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774,642 : 21,472,386 = 21,472,386 : x
  2. Step 2: Convert to fraction form
    9,774,642/21,472,386 = 21,472,386/x
  3. Step 3: Cross multiply
    9,774,642x = 21,472,386 × 21,472,386
  4. Step 4: Simplify right side
    9,774,642x = 461,063,360,532,996
  5. Step 5: Solve for x
    x = 461,063,360,532,996/9,774,642
  6. Step 6: Final answer
    x = 47,169,334.75

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.