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Finding the Third Proportional to 1,210,852,944 and 1,895,315,568.75

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Solution

The third proportional to 1,210,852,944 and 1,895,315,568.75 is: 2,966,686,518.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210,852,944 : 1,895,315,568.75 = 1,895,315,568.75 : x
  2. Step 2: Convert to fraction form
    1,210,852,944/1,895,315,568.75 = 1,895,315,568.75/x
  3. Step 3: Cross multiply
    1,210,852,944x = 1,895,315,568.75 × 1,895,315,568.75
  4. Step 4: Simplify right side
    1,210,852,944x = 3,592,221,105,146,136,064
  5. Step 5: Solve for x
    x = 3,592,221,105,146,136,064/1,210,852,944
  6. Step 6: Final answer
    x = 2,966,686,518.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.