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Finding the Third Proportional to 502,008,411 and 1,087,376,118

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Solution

The third proportional to 502,008,411 and 1,087,376,118 is: 2,355,312,771.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,008,411 : 1,087,376,118 = 1,087,376,118 : x
  2. Step 2: Convert to fraction form
    502,008,411/1,087,376,118 = 1,087,376,118/x
  3. Step 3: Cross multiply
    502,008,411x = 1,087,376,118 × 1,087,376,118
  4. Step 4: Simplify right side
    502,008,411x = 1,182,386,821,996,749,824
  5. Step 5: Solve for x
    x = 1,182,386,821,996,749,824/502,008,411
  6. Step 6: Final answer
    x = 2,355,312,771.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.