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Finding the Third Proportional to 129,473,047 and 277,413,646

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Solution

The third proportional to 129,473,047 and 277,413,646 is: 594,396,538.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,473,047 : 277,413,646 = 277,413,646 : x
  2. Step 2: Convert to fraction form
    129,473,047/277,413,646 = 277,413,646/x
  3. Step 3: Cross multiply
    129,473,047x = 277,413,646 × 277,413,646
  4. Step 4: Simplify right side
    129,473,047x = 76,958,330,987,013,312
  5. Step 5: Solve for x
    x = 76,958,330,987,013,312/129,473,047
  6. Step 6: Final answer
    x = 594,396,538.66

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.