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Finding the Third Proportional to 9,919,240,903.50 and 21,416,417,482.50

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Solution

The third proportional to 9,919,240,903.50 and 21,416,417,482.50 is: 46,239,721,592.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,919,240,903.50 : 21,416,417,482.50 = 21,416,417,482.50 : x
  2. Step 2: Convert to fraction form
    9,919,240,903.50/21,416,417,482.50 = 21,416,417,482.50/x
  3. Step 3: Cross multiply
    9,919,240,903.50x = 21,416,417,482.50 × 21,416,417,482.50
  4. Step 4: Simplify right side
    9,919,240,903.50x = 458,662,937,784,731,631,616
  5. Step 5: Solve for x
    x = 458,662,937,784,731,631,616/9,919,240,903.50
  6. Step 6: Final answer
    x = 46,239,721,592.29

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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.