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Finding the Third Proportional to 9,937,813,968 and 21,271,633,776

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Solution

The third proportional to 9,937,813,968 and 21,271,633,776 is: 45,531,381,947.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937,813,968 : 21,271,633,776 = 21,271,633,776 : x
  2. Step 2: Convert to fraction form
    9,937,813,968/21,271,633,776 = 21,271,633,776/x
  3. Step 3: Cross multiply
    9,937,813,968x = 21,271,633,776 × 21,271,633,776
  4. Step 4: Simplify right side
    9,937,813,968x = 452,482,403,500,263,997,440
  5. Step 5: Solve for x
    x = 452,482,403,500,263,997,440/9,937,813,968
  6. Step 6: Final answer
    x = 45,531,381,947.51

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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.