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Finding the Third Proportional to 1,216,463,220 and 1,884,461,256

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Solution

The third proportional to 1,216,463,220 and 1,884,461,256 is: 2,919,277,925.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216,463,220 : 1,884,461,256 = 1,884,461,256 : x
  2. Step 2: Convert to fraction form
    1,216,463,220/1,884,461,256 = 1,884,461,256/x
  3. Step 3: Cross multiply
    1,216,463,220x = 1,884,461,256 × 1,884,461,256
  4. Step 4: Simplify right side
    1,216,463,220x = 3,551,194,225,365,097,472
  5. Step 5: Solve for x
    x = 3,551,194,225,365,097,472/1,216,463,220
  6. Step 6: Final answer
    x = 2,919,277,925.53

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.