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Finding the Third Proportional to 6,490,980,272 and 9,698,260,248

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Solution

The third proportional to 6,490,980,272 and 9,698,260,248 is: 14,490,300,062.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490,980,272 : 9,698,260,248 = 9,698,260,248 : x
  2. Step 2: Convert to fraction form
    6,490,980,272/9,698,260,248 = 9,698,260,248/x
  3. Step 3: Cross multiply
    6,490,980,272x = 9,698,260,248 × 9,698,260,248
  4. Step 4: Simplify right side
    6,490,980,272x = 94,056,251,837,937,025,024
  5. Step 5: Solve for x
    x = 94,056,251,837,937,025,024/6,490,980,272
  6. Step 6: Final answer
    x = 14,490,300,062.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.