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Finding the Third Proportional to 7,454,708,100 and 16,564,255,308

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Solution

The third proportional to 7,454,708,100 and 16,564,255,308 is: 36,805,539,563.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,454,708,100 : 16,564,255,308 = 16,564,255,308 : x
  2. Step 2: Convert to fraction form
    7,454,708,100/16,564,255,308 = 16,564,255,308/x
  3. Step 3: Cross multiply
    7,454,708,100x = 16,564,255,308 × 16,564,255,308
  4. Step 4: Simplify right side
    7,454,708,100x = 274,374,553,908,606,173,184
  5. Step 5: Solve for x
    x = 274,374,553,908,606,173,184/7,454,708,100
  6. Step 6: Final answer
    x = 36,805,539,563.46

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.