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Finding the Third Proportional to 7,865,484,366 and 16,852,872,666

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Solution

The third proportional to 7,865,484,366 and 16,852,872,666 is: 36,109,577,475.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865,484,366 : 16,852,872,666 = 16,852,872,666 : x
  2. Step 2: Convert to fraction form
    7,865,484,366/16,852,872,666 = 16,852,872,666/x
  3. Step 3: Cross multiply
    7,865,484,366x = 16,852,872,666 × 16,852,872,666
  4. Step 4: Simplify right side
    7,865,484,366x = 284,019,317,096,409,956,352
  5. Step 5: Solve for x
    x = 284,019,317,096,409,956,352/7,865,484,366
  6. Step 6: Final answer
    x = 36,109,577,475.50

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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.