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Finding the Third Proportional to 712,290,395.25 and 1,547,197,537.50

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Solution

The third proportional to 712,290,395.25 and 1,547,197,537.50 is: 3,360,736,345.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,290,395.25 : 1,547,197,537.50 = 1,547,197,537.50 : x
  2. Step 2: Convert to fraction form
    712,290,395.25/1,547,197,537.50 = 1,547,197,537.50/x
  3. Step 3: Cross multiply
    712,290,395.25x = 1,547,197,537.50 × 1,547,197,537.50
  4. Step 4: Simplify right side
    712,290,395.25x = 2,393,820,220,046,064,128
  5. Step 5: Solve for x
    x = 2,393,820,220,046,064,128/712,290,395.25
  6. Step 6: Final answer
    x = 3,360,736,345.75

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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.