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Finding the Third Proportional to 1,091,579,416 and 2,374,414,416

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Solution

The third proportional to 1,091,579,416 and 2,374,414,416 is: 5,164,849,882.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091,579,416 : 2,374,414,416 = 2,374,414,416 : x
  2. Step 2: Convert to fraction form
    1,091,579,416/2,374,414,416 = 2,374,414,416/x
  3. Step 3: Cross multiply
    1,091,579,416x = 2,374,414,416 × 2,374,414,416
  4. Step 4: Simplify right side
    1,091,579,416x = 5,637,843,818,908,620,800
  5. Step 5: Solve for x
    x = 5,637,843,818,908,620,800/1,091,579,416
  6. Step 6: Final answer
    x = 5,164,849,882.90

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Why These Related Problems?

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