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Finding the Third Proportional to 479,924,971.50 and 716,742,551.50

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Solution

The third proportional to 479,924,971.50 and 716,742,551.50 is: 1,070,417,076.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,924,971.50 : 716,742,551.50 = 716,742,551.50 : x
  2. Step 2: Convert to fraction form
    479,924,971.50/716,742,551.50 = 716,742,551.50/x
  3. Step 3: Cross multiply
    479,924,971.50x = 716,742,551.50 × 716,742,551.50
  4. Step 4: Simplify right side
    479,924,971.50x = 513,719,885,130,730,176
  5. Step 5: Solve for x
    x = 513,719,885,130,730,176/479,924,971.50
  6. Step 6: Final answer
    x = 1,070,417,076.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.