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Finding the Third Proportional to 3,142,711,780 and 4,369,689,528

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Solution

The third proportional to 3,142,711,780 and 4,369,689,528 is: 6,075,704,012.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142,711,780 : 4,369,689,528 = 4,369,689,528 : x
  2. Step 2: Convert to fraction form
    3,142,711,780/4,369,689,528 = 4,369,689,528/x
  3. Step 3: Cross multiply
    3,142,711,780x = 4,369,689,528 × 4,369,689,528
  4. Step 4: Simplify right side
    3,142,711,780x = 19,094,186,571,112,861,696
  5. Step 5: Solve for x
    x = 19,094,186,571,112,861,696/3,142,711,780
  6. Step 6: Final answer
    x = 6,075,704,012.26

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.