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Finding the Third Proportional to 1,169,861,777,411 and 2,547,408,537,406

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Solution

The third proportional to 1,169,861,777,411 and 2,547,408,537,406 is: 5,547,057,252,191.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169,861,777,411 : 2,547,408,537,406 = 2,547,408,537,406 : x
  2. Step 2: Convert to fraction form
    1,169,861,777,411/2,547,408,537,406 = 2,547,408,537,406/x
  3. Step 3: Cross multiply
    1,169,861,777,411x = 2,547,408,537,406 × 2,547,408,537,406
  4. Step 4: Simplify right side
    1,169,861,777,411x = 6,489,290,256,448,975,825,534,976
  5. Step 5: Solve for x
    x = 6,489,290,256,448,975,825,534,976/1,169,861,777,411
  6. Step 6: Final answer
    x = 5,547,057,252,191.20

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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.