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Finding the Third Proportional to 47,854,572 and 103,785,816

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Solution

The third proportional to 47,854,572 and 103,785,816 is: 225,088,119.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,854,572 : 103,785,816 = 103,785,816 : x
  2. Step 2: Convert to fraction form
    47,854,572/103,785,816 = 103,785,816/x
  3. Step 3: Cross multiply
    47,854,572x = 103,785,816 × 103,785,816
  4. Step 4: Simplify right side
    47,854,572x = 10,771,495,602,785,856
  5. Step 5: Solve for x
    x = 10,771,495,602,785,856/47,854,572
  6. Step 6: Final answer
    x = 225,088,119.12

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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.