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Finding the Third Proportional to 556,276,054 and 1,158,331,289

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Solution

The third proportional to 556,276,054 and 1,158,331,289 is: 2,411,988,374.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,276,054 : 1,158,331,289 = 1,158,331,289 : x
  2. Step 2: Convert to fraction form
    556,276,054/1,158,331,289 = 1,158,331,289/x
  3. Step 3: Cross multiply
    556,276,054x = 1,158,331,289 × 1,158,331,289
  4. Step 4: Simplify right side
    556,276,054x = 1,341,731,375,076,401,408
  5. Step 5: Solve for x
    x = 1,341,731,375,076,401,408/556,276,054
  6. Step 6: Final answer
    x = 2,411,988,374.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.