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Finding the Third Proportional to 58,873,910,316 and 128,403,378,798

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Solution

The third proportional to 58,873,910,316 and 128,403,378,798 is: 280,046,417,814.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,873,910,316 : 128,403,378,798 = 128,403,378,798 : x
  2. Step 2: Convert to fraction form
    58,873,910,316/128,403,378,798 = 128,403,378,798/x
  3. Step 3: Cross multiply
    58,873,910,316x = 128,403,378,798 × 128,403,378,798
  4. Step 4: Simplify right side
    58,873,910,316x = 16,487,427,686,742,676,733,952
  5. Step 5: Solve for x
    x = 16,487,427,686,742,676,733,952/58,873,910,316
  6. Step 6: Final answer
    x = 280,046,417,814.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.