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Finding the Third Proportional to 765,388,342,885.50 and 1,639,948,881,005.50

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Solution

The third proportional to 765,388,342,885.50 and 1,639,948,881,005.50 is: 3,513,814,075,312.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,388,342,885.50 : 1,639,948,881,005.50 = 1,639,948,881,005.50 : x
  2. Step 2: Convert to fraction form
    765,388,342,885.50/1,639,948,881,005.50 = 1,639,948,881,005.50/x
  3. Step 3: Cross multiply
    765,388,342,885.50x = 1,639,948,881,005.50 × 1,639,948,881,005.50
  4. Step 4: Simplify right side
    765,388,342,885.50x = 2,689,432,332,311,191,439,278,080
  5. Step 5: Solve for x
    x = 2,689,432,332,311,191,439,278,080/765,388,342,885.50
  6. Step 6: Final answer
    x = 3,513,814,075,312.52

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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.