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Finding the Third Proportional to 106,591,837,507 and 237,016,088,533

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Solution

The third proportional to 106,591,837,507 and 237,016,088,533 is: 527,025,591,615.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,591,837,507 : 237,016,088,533 = 237,016,088,533 : x
  2. Step 2: Convert to fraction form
    106,591,837,507/237,016,088,533 = 237,016,088,533/x
  3. Step 3: Cross multiply
    106,591,837,507x = 237,016,088,533 × 237,016,088,533
  4. Step 4: Simplify right side
    106,591,837,507x = 56,176,626,223,482,891,403,264
  5. Step 5: Solve for x
    x = 56,176,626,223,482,891,403,264/106,591,837,507
  6. Step 6: Final answer
    x = 527,025,591,615.25

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.