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Finding the Third Proportional to 2,946,249,438 and 6,382,885,024

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Solution

The third proportional to 2,946,249,438 and 6,382,885,024 is: 13,828,164,276.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946,249,438 : 6,382,885,024 = 6,382,885,024 : x
  2. Step 2: Convert to fraction form
    2,946,249,438/6,382,885,024 = 6,382,885,024/x
  3. Step 3: Cross multiply
    2,946,249,438x = 6,382,885,024 × 6,382,885,024
  4. Step 4: Simplify right side
    2,946,249,438x = 40,741,221,229,603,479,552
  5. Step 5: Solve for x
    x = 40,741,221,229,603,479,552/2,946,249,438
  6. Step 6: Final answer
    x = 13,828,164,276.97

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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.