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Finding the Third Proportional to 249,914,955,510 and 380,719,613,232

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Solution

The third proportional to 249,914,955,510 and 380,719,613,232 is: 579,986,994,390.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,914,955,510 : 380,719,613,232 = 380,719,613,232 : x
  2. Step 2: Convert to fraction form
    249,914,955,510/380,719,613,232 = 380,719,613,232/x
  3. Step 3: Cross multiply
    249,914,955,510x = 380,719,613,232 × 380,719,613,232
  4. Step 4: Simplify right side
    249,914,955,510x = 144,947,423,899,523,674,537,984
  5. Step 5: Solve for x
    x = 144,947,423,899,523,674,537,984/249,914,955,510
  6. Step 6: Final answer
    x = 579,986,994,390.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.