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Finding the Third Proportional to 1,535,351,498 and 3,343,312,276

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Solution

The third proportional to 1,535,351,498 and 3,343,312,276 is: 7,280,246,242.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535,351,498 : 3,343,312,276 = 3,343,312,276 : x
  2. Step 2: Convert to fraction form
    1,535,351,498/3,343,312,276 = 3,343,312,276/x
  3. Step 3: Cross multiply
    1,535,351,498x = 3,343,312,276 × 3,343,312,276
  4. Step 4: Simplify right side
    1,535,351,498x = 11,177,736,974,852,300,800
  5. Step 5: Solve for x
    x = 11,177,736,974,852,300,800/1,535,351,498
  6. Step 6: Final answer
    x = 7,280,246,242.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.