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Finding the Third Proportional to 4,249,717,114 and 9,096,418,473

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Solution

The third proportional to 4,249,717,114 and 9,096,418,473 is: 19,470,667,532.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,249,717,114 : 9,096,418,473 = 9,096,418,473 : x
  2. Step 2: Convert to fraction form
    4,249,717,114/9,096,418,473 = 9,096,418,473/x
  3. Step 3: Cross multiply
    4,249,717,114x = 9,096,418,473 × 9,096,418,473
  4. Step 4: Simplify right side
    4,249,717,114x = 82,744,829,035,935,645,696
  5. Step 5: Solve for x
    x = 82,744,829,035,935,645,696/4,249,717,114
  6. Step 6: Final answer
    x = 19,470,667,532.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.