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Finding the Third Proportional to 979,664,496.75 and 2,115,174,613.50

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Solution

The third proportional to 979,664,496.75 and 2,115,174,613.50 is: 4,566,832,482.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    979,664,496.75 : 2,115,174,613.50 = 2,115,174,613.50 : x
  2. Step 2: Convert to fraction form
    979,664,496.75/2,115,174,613.50 = 2,115,174,613.50/x
  3. Step 3: Cross multiply
    979,664,496.75x = 2,115,174,613.50 × 2,115,174,613.50
  4. Step 4: Simplify right side
    979,664,496.75x = 4,473,963,645,594,874,368
  5. Step 5: Solve for x
    x = 4,473,963,645,594,874,368/979,664,496.75
  6. Step 6: Final answer
    x = 4,566,832,482.38

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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.