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Finding the Third Proportional to 7,077,287,803 and 10,988,838,519

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Solution

The third proportional to 7,077,287,803 and 10,988,838,519 is: 17,062,266,698.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077,287,803 : 10,988,838,519 = 10,988,838,519 : x
  2. Step 2: Convert to fraction form
    7,077,287,803/10,988,838,519 = 10,988,838,519/x
  3. Step 3: Cross multiply
    7,077,287,803x = 10,988,838,519 × 10,988,838,519
  4. Step 4: Simplify right side
    7,077,287,803x = 120,754,571,996,658,106,368
  5. Step 5: Solve for x
    x = 120,754,571,996,658,106,368/7,077,287,803
  6. Step 6: Final answer
    x = 17,062,266,698.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.