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Finding the Third Proportional to 4,482,345,964 and 6,698,814,292

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Solution

The third proportional to 4,482,345,964 and 6,698,814,292 is: 10,011,300,617.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,482,345,964 : 6,698,814,292 = 6,698,814,292 : x
  2. Step 2: Convert to fraction form
    4,482,345,964/6,698,814,292 = 6,698,814,292/x
  3. Step 3: Cross multiply
    4,482,345,964x = 6,698,814,292 × 6,698,814,292
  4. Step 4: Simplify right side
    4,482,345,964x = 44,874,112,918,703,464,448
  5. Step 5: Solve for x
    x = 44,874,112,918,703,464,448/4,482,345,964
  6. Step 6: Final answer
    x = 10,011,300,617.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.