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Finding the Third Proportional to 262,988,513,106 and 406,559,791,485

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Solution

The third proportional to 262,988,513,106 and 406,559,791,485 is: 628,509,823,870.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,988,513,106 : 406,559,791,485 = 406,559,791,485 : x
  2. Step 2: Convert to fraction form
    262,988,513,106/406,559,791,485 = 406,559,791,485/x
  3. Step 3: Cross multiply
    262,988,513,106x = 406,559,791,485 × 406,559,791,485
  4. Step 4: Simplify right side
    262,988,513,106x = 165,290,864,052,326,688,096,256
  5. Step 5: Solve for x
    x = 165,290,864,052,326,688,096,256/262,988,513,106
  6. Step 6: Final answer
    x = 628,509,823,870.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.