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Finding the Third Proportional to 121,035,295,901 and 264,870,988,411

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Solution

The third proportional to 121,035,295,901 and 264,870,988,411 is: 579,637,864,967.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,035,295,901 : 264,870,988,411 = 264,870,988,411 : x
  2. Step 2: Convert to fraction form
    121,035,295,901/264,870,988,411 = 264,870,988,411/x
  3. Step 3: Cross multiply
    121,035,295,901x = 264,870,988,411 × 264,870,988,411
  4. Step 4: Simplify right side
    121,035,295,901x = 70,156,640,501,820,095,987,712
  5. Step 5: Solve for x
    x = 70,156,640,501,820,095,987,712/121,035,295,901
  6. Step 6: Final answer
    x = 579,637,864,967.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.