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Finding the Third Proportional to 4,693,773,070 and 9,947,153,516

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Solution

The third proportional to 4,693,773,070 and 9,947,153,516 is: 21,080,240,053.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693,773,070 : 9,947,153,516 = 9,947,153,516 : x
  2. Step 2: Convert to fraction form
    4,693,773,070/9,947,153,516 = 9,947,153,516/x
  3. Step 3: Cross multiply
    4,693,773,070x = 9,947,153,516 × 9,947,153,516
  4. Step 4: Simplify right side
    4,693,773,070x = 98,945,863,070,871,158,784
  5. Step 5: Solve for x
    x = 98,945,863,070,871,158,784/4,693,773,070
  6. Step 6: Final answer
    x = 21,080,240,053.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.