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Finding the Third Proportional to 1,607,659,754.25 and 3,482,462,808

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Solution

The third proportional to 1,607,659,754.25 and 3,482,462,808 is: 7,543,603,164.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607,659,754.25 : 3,482,462,808 = 3,482,462,808 : x
  2. Step 2: Convert to fraction form
    1,607,659,754.25/3,482,462,808 = 3,482,462,808/x
  3. Step 3: Cross multiply
    1,607,659,754.25x = 3,482,462,808 × 3,482,462,808
  4. Step 4: Simplify right side
    1,607,659,754.25x = 12,127,547,209,103,245,312
  5. Step 5: Solve for x
    x = 12,127,547,209,103,245,312/1,607,659,754.25
  6. Step 6: Final answer
    x = 7,543,603,164.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.