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Finding the Third Proportional to 21,295,287,984 and 46,124,386,545

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Solution

The third proportional to 21,295,287,984 and 46,124,386,545 is: 99,902,806,468.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,295,287,984 : 46,124,386,545 = 46,124,386,545 : x
  2. Step 2: Convert to fraction form
    21,295,287,984/46,124,386,545 = 46,124,386,545/x
  3. Step 3: Cross multiply
    21,295,287,984x = 46,124,386,545 × 46,124,386,545
  4. Step 4: Simplify right side
    21,295,287,984x = 2,127,459,034,152,577,007,616
  5. Step 5: Solve for x
    x = 2,127,459,034,152,577,007,616/21,295,287,984
  6. Step 6: Final answer
    x = 99,902,806,468.31

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.