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Finding the Third Proportional to 4,732,286,220 and 10,249,863,678

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Solution

The third proportional to 4,732,286,220 and 10,249,863,678 is: 22,200,623,659.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732,286,220 : 10,249,863,678 = 10,249,863,678 : x
  2. Step 2: Convert to fraction form
    4,732,286,220/10,249,863,678 = 10,249,863,678/x
  3. Step 3: Cross multiply
    4,732,286,220x = 10,249,863,678 × 10,249,863,678
  4. Step 4: Simplify right side
    4,732,286,220x = 105,059,705,417,583,689,728
  5. Step 5: Solve for x
    x = 105,059,705,417,583,689,728/4,732,286,220
  6. Step 6: Final answer
    x = 22,200,623,659.15

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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.