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Finding the Third Proportional to 530,205,693.05 and 1,125,041,081.06

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Solution

The third proportional to 530,205,693.05 and 1,125,041,081.06 is: 2,387,219,621.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,205,693.05 : 1,125,041,081.06 = 1,125,041,081.06 : x
  2. Step 2: Convert to fraction form
    530,205,693.05/1,125,041,081.06 = 1,125,041,081.06/x
  3. Step 3: Cross multiply
    530,205,693.05x = 1,125,041,081.06 × 1,125,041,081.06
  4. Step 4: Simplify right side
    530,205,693.05x = 1,265,717,434,078,278,656
  5. Step 5: Solve for x
    x = 1,265,717,434,078,278,656/530,205,693.05
  6. Step 6: Final answer
    x = 2,387,219,621.89

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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.