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Finding the Third Proportional to 7,865,484,360 and 16,852,872,648

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Solution

The third proportional to 7,865,484,360 and 16,852,872,648 is: 36,109,577,425.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865,484,360 : 16,852,872,648 = 16,852,872,648 : x
  2. Step 2: Convert to fraction form
    7,865,484,360/16,852,872,648 = 16,852,872,648/x
  3. Step 3: Cross multiply
    7,865,484,360x = 16,852,872,648 × 16,852,872,648
  4. Step 4: Simplify right side
    7,865,484,360x = 284,019,316,489,706,536,960
  5. Step 5: Solve for x
    x = 284,019,316,489,706,536,960/7,865,484,360
  6. Step 6: Final answer
    x = 36,109,577,425.91

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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.