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Finding the Third Proportional to 376,603,488 and 812,658,240

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Solution

The third proportional to 376,603,488 and 812,658,240 is: 1,753,604,085.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,603,488 : 812,658,240 = 812,658,240 : x
  2. Step 2: Convert to fraction form
    376,603,488/812,658,240 = 812,658,240/x
  3. Step 3: Cross multiply
    376,603,488x = 812,658,240 × 812,658,240
  4. Step 4: Simplify right side
    376,603,488x = 660,413,415,039,897,600
  5. Step 5: Solve for x
    x = 660,413,415,039,897,600/376,603,488
  6. Step 6: Final answer
    x = 1,753,604,085.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.