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Finding the Third Proportional to 1,240,851,312 and 2,688,497,082

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Solution

The third proportional to 1,240,851,312 and 2,688,497,082 is: 5,825,046,474.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240,851,312 : 2,688,497,082 = 2,688,497,082 : x
  2. Step 2: Convert to fraction form
    1,240,851,312/2,688,497,082 = 2,688,497,082/x
  3. Step 3: Cross multiply
    1,240,851,312x = 2,688,497,082 × 2,688,497,082
  4. Step 4: Simplify right side
    1,240,851,312x = 7,228,016,559,922,514,944
  5. Step 5: Solve for x
    x = 7,228,016,559,922,514,944/1,240,851,312
  6. Step 6: Final answer
    x = 5,825,046,474.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.