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Finding the Third Proportional to 2,756,378,386 and 4,136,583,507

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Solution

The third proportional to 2,756,378,386 and 4,136,583,507 is: 6,207,900,626.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756,378,386 : 4,136,583,507 = 4,136,583,507 : x
  2. Step 2: Convert to fraction form
    2,756,378,386/4,136,583,507 = 4,136,583,507/x
  3. Step 3: Cross multiply
    2,756,378,386x = 4,136,583,507 × 4,136,583,507
  4. Step 4: Simplify right side
    2,756,378,386x = 17,111,323,110,384,418,816
  5. Step 5: Solve for x
    x = 17,111,323,110,384,418,816/2,756,378,386
  6. Step 6: Final answer
    x = 6,207,900,626.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.