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Finding the Third Proportional to 2,034,895,574 and 4,407,847,132

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Solution

The third proportional to 2,034,895,574 and 4,407,847,132 is: 9,547,967,270.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034,895,574 : 4,407,847,132 = 4,407,847,132 : x
  2. Step 2: Convert to fraction form
    2,034,895,574/4,407,847,132 = 4,407,847,132/x
  3. Step 3: Cross multiply
    2,034,895,574x = 4,407,847,132 × 4,407,847,132
  4. Step 4: Simplify right side
    2,034,895,574x = 19,429,116,339,080,626,176
  5. Step 5: Solve for x
    x = 19,429,116,339,080,626,176/2,034,895,574
  6. Step 6: Final answer
    x = 9,547,967,270.32

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