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Finding the Third Proportional to 30,220,210,120 and 64,685,641,532

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Solution

The third proportional to 30,220,210,120 and 64,685,641,532 is: 138,458,078,345.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,220,210,120 : 64,685,641,532 = 64,685,641,532 : x
  2. Step 2: Convert to fraction form
    30,220,210,120/64,685,641,532 = 64,685,641,532/x
  3. Step 3: Cross multiply
    30,220,210,120x = 64,685,641,532 × 64,685,641,532
  4. Step 4: Simplify right side
    30,220,210,120x = 4,184,232,220,406,403,563,520
  5. Step 5: Solve for x
    x = 4,184,232,220,406,403,563,520/30,220,210,120
  6. Step 6: Final answer
    x = 138,458,078,345.30

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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.