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Finding the Third Proportional to 375,051,411 and 778,847,526

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Solution

The third proportional to 375,051,411 and 778,847,526 is: 1,617,387,512.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,051,411 : 778,847,526 = 778,847,526 : x
  2. Step 2: Convert to fraction form
    375,051,411/778,847,526 = 778,847,526/x
  3. Step 3: Cross multiply
    375,051,411x = 778,847,526 × 778,847,526
  4. Step 4: Simplify right side
    375,051,411x = 606,603,468,756,320,640
  5. Step 5: Solve for x
    x = 606,603,468,756,320,640/375,051,411
  6. Step 6: Final answer
    x = 1,617,387,512.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.