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Finding the Third Proportional to 2,044,473,470 and 4,376,146,875

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Solution

The third proportional to 2,044,473,470 and 4,376,146,875 is: 9,367,038,385.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044,473,470 : 4,376,146,875 = 4,376,146,875 : x
  2. Step 2: Convert to fraction form
    2,044,473,470/4,376,146,875 = 4,376,146,875/x
  3. Step 3: Cross multiply
    2,044,473,470x = 4,376,146,875 × 4,376,146,875
  4. Step 4: Simplify right side
    2,044,473,470x = 19,150,661,471,572,267,008
  5. Step 5: Solve for x
    x = 19,150,661,471,572,267,008/2,044,473,470
  6. Step 6: Final answer
    x = 9,367,038,385.47

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Why These Related Problems?

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