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Finding the Third Proportional to 6,290,922,490 and 9,767,856,459

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Solution

The third proportional to 6,290,922,490 and 9,767,856,459 is: 15,166,459,284.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,290,922,490 : 9,767,856,459 = 9,767,856,459 : x
  2. Step 2: Convert to fraction form
    6,290,922,490/9,767,856,459 = 9,767,856,459/x
  3. Step 3: Cross multiply
    6,290,922,490x = 9,767,856,459 × 9,767,856,459
  4. Step 4: Simplify right side
    6,290,922,490x = 95,411,019,803,628,011,520
  5. Step 5: Solve for x
    x = 95,411,019,803,628,011,520/6,290,922,490
  6. Step 6: Final answer
    x = 15,166,459,284.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.