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Finding the Third Proportional to 4,570,095,278 and 6,314,833,472

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Solution

The third proportional to 4,570,095,278 and 6,314,833,472 is: 8,725,665,298.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570,095,278 : 6,314,833,472 = 6,314,833,472 : x
  2. Step 2: Convert to fraction form
    4,570,095,278/6,314,833,472 = 6,314,833,472/x
  3. Step 3: Cross multiply
    4,570,095,278x = 6,314,833,472 × 6,314,833,472
  4. Step 4: Simplify right side
    4,570,095,278x = 39,877,121,779,091,570,688
  5. Step 5: Solve for x
    x = 39,877,121,779,091,570,688/4,570,095,278
  6. Step 6: Final answer
    x = 8,725,665,298.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.