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Finding the Third Proportional to 1,381,686,714 and 1,975,828,266

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Solution

The third proportional to 1,381,686,714 and 1,975,828,266 is: 2,825,457,679.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381,686,714 : 1,975,828,266 = 1,975,828,266 : x
  2. Step 2: Convert to fraction form
    1,381,686,714/1,975,828,266 = 1,975,828,266/x
  3. Step 3: Cross multiply
    1,381,686,714x = 1,975,828,266 × 1,975,828,266
  4. Step 4: Simplify right side
    1,381,686,714x = 3,903,897,336,724,566,528
  5. Step 5: Solve for x
    x = 3,903,897,336,724,566,528/1,381,686,714
  6. Step 6: Final answer
    x = 2,825,457,679.49

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.