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Finding the Third Proportional to 46,418,241,838,200 and 99,357,143,577,544

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Solution

The third proportional to 46,418,241,838,200 and 99,357,143,577,544 is: 212,671,604,717,364.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,418,241,838,200 : 99,357,143,577,544 = 99,357,143,577,544 : x
  2. Step 2: Convert to fraction form
    46,418,241,838,200/99,357,143,577,544 = 99,357,143,577,544/x
  3. Step 3: Cross multiply
    46,418,241,838,200x = 99,357,143,577,544 × 99,357,143,577,544
  4. Step 4: Simplify right side
    46,418,241,838,200x = 9,871,841,979,888,692,692,349,091,840
  5. Step 5: Solve for x
    x = 9,871,841,979,888,692,692,349,091,840/46,418,241,838,200
  6. Step 6: Final answer
    x = 212,671,604,717,364.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.