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Finding the Third Proportional to 417,926,037.38 and 901,292,980.50

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Solution

The third proportional to 417,926,037.38 and 901,292,980.50 is: 1,943,714,830.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,926,037.38 : 901,292,980.50 = 901,292,980.50 : x
  2. Step 2: Convert to fraction form
    417,926,037.38/901,292,980.50 = 901,292,980.50/x
  3. Step 3: Cross multiply
    417,926,037.38x = 901,292,980.50 × 901,292,980.50
  4. Step 4: Simplify right side
    417,926,037.38x = 812,329,036,698,573,440
  5. Step 5: Solve for x
    x = 812,329,036,698,573,440/417,926,037.38
  6. Step 6: Final answer
    x = 1,943,714,830.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.