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Finding the Third Proportional to 1,582,520,490 and 2,326,375,323

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Solution

The third proportional to 1,582,520,490 and 2,326,375,323 is: 3,419,874,925.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582,520,490 : 2,326,375,323 = 2,326,375,323 : x
  2. Step 2: Convert to fraction form
    1,582,520,490/2,326,375,323 = 2,326,375,323/x
  3. Step 3: Cross multiply
    1,582,520,490x = 2,326,375,323 × 2,326,375,323
  4. Step 4: Simplify right side
    1,582,520,490x = 5,412,022,143,463,354,368
  5. Step 5: Solve for x
    x = 5,412,022,143,463,354,368/1,582,520,490
  6. Step 6: Final answer
    x = 3,419,874,925.89

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.