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Finding the Third Proportional to 3,932,742,172.50 and 8,426,436,312

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Solution

The third proportional to 3,932,742,172.50 and 8,426,436,312 is: 18,054,788,695.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932,742,172.50 : 8,426,436,312 = 8,426,436,312 : x
  2. Step 2: Convert to fraction form
    3,932,742,172.50/8,426,436,312 = 8,426,436,312/x
  3. Step 3: Cross multiply
    3,932,742,172.50x = 8,426,436,312 × 8,426,436,312
  4. Step 4: Simplify right side
    3,932,742,172.50x = 71,004,828,920,192,163,840
  5. Step 5: Solve for x
    x = 71,004,828,920,192,163,840/3,932,742,172.50
  6. Step 6: Final answer
    x = 18,054,788,695.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.