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Finding the Third Proportional to 1,069,344,381 and 1,701,537,088.50

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Solution

The third proportional to 1,069,344,381 and 1,701,537,088.50 is: 2,707,479,942.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069,344,381 : 1,701,537,088.50 = 1,701,537,088.50 : x
  2. Step 2: Convert to fraction form
    1,069,344,381/1,701,537,088.50 = 1,701,537,088.50/x
  3. Step 3: Cross multiply
    1,069,344,381x = 1,701,537,088.50 × 1,701,537,088.50
  4. Step 4: Simplify right side
    1,069,344,381x = 2,895,228,463,541,057,024
  5. Step 5: Solve for x
    x = 2,895,228,463,541,057,024/1,069,344,381
  6. Step 6: Final answer
    x = 2,707,479,942.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.