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Finding the Third Proportional to 586,721,638 and 1,243,394,196

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Solution

The third proportional to 586,721,638 and 1,243,394,196 is: 2,635,030,015.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,721,638 : 1,243,394,196 = 1,243,394,196 : x
  2. Step 2: Convert to fraction form
    586,721,638/1,243,394,196 = 1,243,394,196/x
  3. Step 3: Cross multiply
    586,721,638x = 1,243,394,196 × 1,243,394,196
  4. Step 4: Simplify right side
    586,721,638x = 1,546,029,126,646,486,528
  5. Step 5: Solve for x
    x = 1,546,029,126,646,486,528/586,721,638
  6. Step 6: Final answer
    x = 2,635,030,015.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.