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Finding the Third Proportional to 22,983,513,954.75 and 32,351,748,673.50

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Solution

The third proportional to 22,983,513,954.75 and 32,351,748,673.50 is: 45,538,538,810.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,983,513,954.75 : 32,351,748,673.50 = 32,351,748,673.50 : x
  2. Step 2: Convert to fraction form
    22,983,513,954.75/32,351,748,673.50 = 32,351,748,673.50/x
  3. Step 3: Cross multiply
    22,983,513,954.75x = 32,351,748,673.50 × 32,351,748,673.50
  4. Step 4: Simplify right side
    22,983,513,954.75x = 1,046,635,642,233,308,971,008
  5. Step 5: Solve for x
    x = 1,046,635,642,233,308,971,008/22,983,513,954.75
  6. Step 6: Final answer
    x = 45,538,538,810.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.