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Finding the Third Proportional to 580,448,088 and 1,262,931,036

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Solution

The third proportional to 580,448,088 and 1,262,931,036 is: 2,747,868,129.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,448,088 : 1,262,931,036 = 1,262,931,036 : x
  2. Step 2: Convert to fraction form
    580,448,088/1,262,931,036 = 1,262,931,036/x
  3. Step 3: Cross multiply
    580,448,088x = 1,262,931,036 × 1,262,931,036
  4. Step 4: Simplify right side
    580,448,088x = 1,594,994,801,692,033,280
  5. Step 5: Solve for x
    x = 1,594,994,801,692,033,280/580,448,088
  6. Step 6: Final answer
    x = 2,747,868,129.24

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.