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Finding the Third Proportional to 71,553,828,444 and 155,032,648,356

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Solution

The third proportional to 71,553,828,444 and 155,032,648,356 is: 335,902,670,464.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,553,828,444 : 155,032,648,356 = 155,032,648,356 : x
  2. Step 2: Convert to fraction form
    71,553,828,444/155,032,648,356 = 155,032,648,356/x
  3. Step 3: Cross multiply
    71,553,828,444x = 155,032,648,356 × 155,032,648,356
  4. Step 4: Simplify right side
    71,553,828,444x = 24,035,122,056,275,148,406,784
  5. Step 5: Solve for x
    x = 24,035,122,056,275,148,406,784/71,553,828,444
  6. Step 6: Final answer
    x = 335,902,670,464.18

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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.