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Finding the Third Proportional to 760,402,726,711.30 and 1,631,190,333,841.40

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Solution

The third proportional to 760,402,726,711.30 and 1,631,190,333,841.40 is: 3,499,174,597,552.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,402,726,711.30 : 1,631,190,333,841.40 = 1,631,190,333,841.40 : x
  2. Step 2: Convert to fraction form
    760,402,726,711.30/1,631,190,333,841.40 = 1,631,190,333,841.40/x
  3. Step 3: Cross multiply
    760,402,726,711.30x = 1,631,190,333,841.40 × 1,631,190,333,841.40
  4. Step 4: Simplify right side
    760,402,726,711.30x = 2,660,781,905,217,617,867,571,200
  5. Step 5: Solve for x
    x = 2,660,781,905,217,617,867,571,200/760,402,726,711.30
  6. Step 6: Final answer
    x = 3,499,174,597,552.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.