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Finding the Third Proportional to 74,221,924 and 153,535,184

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Solution

The third proportional to 74,221,924 and 153,535,184 is: 317,602,285.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,221,924 : 153,535,184 = 153,535,184 : x
  2. Step 2: Convert to fraction form
    74,221,924/153,535,184 = 153,535,184/x
  3. Step 3: Cross multiply
    74,221,924x = 153,535,184 × 153,535,184
  4. Step 4: Simplify right side
    74,221,924x = 23,573,052,725,913,856
  5. Step 5: Solve for x
    x = 23,573,052,725,913,856/74,221,924
  6. Step 6: Final answer
    x = 317,602,285.89

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.