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Finding the Third Proportional to 63,748,917,699 and 95,272,021,875

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Solution

The third proportional to 63,748,917,699 and 95,272,021,875 is: 142,382,937,307.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,748,917,699 : 95,272,021,875 = 95,272,021,875 : x
  2. Step 2: Convert to fraction form
    63,748,917,699/95,272,021,875 = 95,272,021,875/x
  3. Step 3: Cross multiply
    63,748,917,699x = 95,272,021,875 × 95,272,021,875
  4. Step 4: Simplify right side
    63,748,917,699x = 9,076,758,152,150,479,011,840
  5. Step 5: Solve for x
    x = 9,076,758,152,150,479,011,840/63,748,917,699
  6. Step 6: Final answer
    x = 142,382,937,307.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.