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Finding the Third Proportional to 1,791,456,639,741 and 3,948,069,197,394

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Solution

The third proportional to 1,791,456,639,741 and 3,948,069,197,394 is: 8,700,880,636,254.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,791,456,639,741 : 3,948,069,197,394 = 3,948,069,197,394 : x
  2. Step 2: Convert to fraction form
    1,791,456,639,741/3,948,069,197,394 = 3,948,069,197,394/x
  3. Step 3: Cross multiply
    1,791,456,639,741x = 3,948,069,197,394 × 3,948,069,197,394
  4. Step 4: Simplify right side
    1,791,456,639,741x = 15,587,250,387,411,303,388,938,240
  5. Step 5: Solve for x
    x = 15,587,250,387,411,303,388,938,240/1,791,456,639,741
  6. Step 6: Final answer
    x = 8,700,880,636,254.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.